Method of controlling acceleration of a spacecraft reentering the atmosphere to accommodate adventure travelers

ABSTRACT

A method for controlling the acceleration of a vehicle ( 10 ) reentering the sensible atmosphere, comprising executing a lofting translational rocket burn at an altitude of greater than about 40 km whereby the vehicle ( 10 ) reenters the sensible atmosphere at a maximum accelerative force of less than 4 g.

This application is a 371 of PCT/US98/21844 filed Oct. 15, 1998 and claims benefit of Provisional applications 60/062,478 and 60/062,481, both filed Oct. 16, 1997.

FIELD OF THE INVENTION

This invention relates to the trajectory of a spacecraft reentering the atmosphere.

BACKGROUND OF THE INVENTION

Controlling acceleration of a spacecraft reentering the atmosphere is not, in itself, a new concept. The usual reasons for controlling acceleration during reentry are to: (1) reduce g-loads on the payloads or humans in the vehicle, or (2) reduce the aeroheating (heating due to compression and friction from the air) experienced by the spacecraft. Historically, from Mercury through Shuttle, the only methods employed to control acceleration have been: (a) using rotations to control the vehicle's angle of attack, or (b) using rotations to control the vehicle's lift-to-drag ratio. The term “rotations” refers to controlling the direction in which the vehicle is facing, commonly called pitch yaw and roll, using relatively small rocket thrusters (attitude control system), shifting center of gravity, wing ailerons, body flaps, or combinations of these. The term “relatively small” means large enough to rotate the vehicle, but too small to provide significant translational movement (i.e., also referenced as longitudinal movement). Some small translational acceleration usually accompanies rotations, but it is usually orders of magnitude smaller than the vehicle's translational speed. The only translational rocket burns they have employed have been: (i) retro-rocket de-orbit burns. executed in space (above 100 km altitude), well above the atmosphere, to change their path to intersect the atmosphere, or (ii) landing deceleration, executed just above the ground, such as performed by the Apollo Lunar Lander, Mars Rover, or DC-X.

A need exists for trajectories capable of providing reentry of a spacecraft into the atmosphere under conditions designed to accommodate the special needs and/or interests of adventure travelers.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a graphical depiction of a first trajectory, referenced herein as a lofting trajectory.

FIG. 2 is a graphical depiction of a second trajectory, referenced herein as a power dive trajectory.

FIG. 3 is a graphical depiction of a third trajectory, referenced herein as a speed augmented challenge trajectory.

FIG. 4 is a graphical depiction of a fourth trajectory, referenced herein as a deceleration augmented challenge trajectory.

FIG. 5 is a graphical depiction of a fifth trajectory, referenced herein as a skydiver trajectory.

FIG. 6a is a schematic side view of one embodiment of a space vehicle attached beneath a carrier vehicle during lifting of the space vehicle for launch.

FIG. 6b is a schematic side view of the space vehicle and carrier vehicle shown in FIG. 6a after separation of the space vehicle from the carrier vehicle.

FIG. 7a is a graphical depiction of the altitude vs. range for a specific embodiment of the lofting trajectory.

FIG. 7b is a graphical depiction of the calculated thermal profile for the lofting trajectory shown in FIG. 7a.

FIG. 8a is a graphical depiction of the altitude vs. range for a comparative trajectory without lofting.

FIG. 8b is a graphical depiction of the calculated thermal profile for the comparative trajectory shown in FIG. 8a.

FIG. 9 is a graphical depiction of commonly achievable ratios of coefficient of drag to coefficient of lift for subsonic. transonic and supersonic speeds.

SUMMARY OF THE INVENTION

A first trajectory, referenced herein as a lofting trajectory, provides for controlled deceleration of a vehicle reentering the sensible atmosphere by executing a lofting translational rocket burn at an altitude of greater than about 40 km whereby the vehicle reenters the sensible atmosphere at a maximum accelerative force of less than 4 g.

A second trajectory, referenced herein as a power dive trajectory, provides for controlled deceleration of a vehicle reentering the sensible atmosphere by executing a power dive rocket burn after entry of the vehicle into the sensible atmosphere, whereby the vehicle reenters the sensible atmosphere at a maximum accelerative force of less than 4 g.

The lofting translational rocket burn of the first trajectory and the power dive rocket burn of the second trajectory can be used sequentially to provide for controlled deceleration of a vehicle as the vehicle reenters the sensible atmosphere.

A third trajectory, referenced herein as a speed augmented challenge trajectory, provides adventure travelers an opportunity to experience an extreme challenge by initiating a downward translational rocket burn after achieving apogee and prior to reentering the sensible atmosphere, so as to increase the maximum decelerative drag force imposed upon the vehicle during reentry.

A fourth trajectory, referenced herein as a deceleration augmented challenge trajectory, provides adventure travelers an opportunity to experience an extreme challenge by executing an upward translational rocket burn after reentering the sensible atmosphere so as to augment the decelerative drag force imposed upon the vehicle during reentry.

A fifth trajectory, referenced herein as a skydiver trajectory, facilitates extreme altitude skydiving from a vehicle traveling proximate the edge of the sensible atmosphere, comprising executing a translational rocket burn through apogee wherein the thrust of the burn is sufficient to substantially counterbalance the downward accelerative force of gravity, and thereby extend the period of minimized dynamic pressure observed at apogee.

DETAILED DESCRIPTION OF THE INVENTION Definitions

As utilized herein, including the claims, the term “downward” means pointed below the local horizontal plane. Specifically, a downward thrust means a thrust directed so as to accelerate a vehicle in a direction pointed below the local horizontal plane.

As utilized herein, including the claims. the term “upward” means pointed above the local horizontal plane. Specifically, an upward thrust means a thrust directed so as to accelerate a vehicle in a direction pointed above the local horizontal plane.

As utilized herein, including the claims, the term “lofting” means pointed above the local horizontal plane.

As utilized herein, including the claims, the term “power dive” means a descent into the atmosphere wherein the component of thrust of a rocket burn in the direction of descent counteracts atmospheric deceleration.

As utilized herein, including the claims. the term “sensible atmosphere” means that atmosphere having an air density effective for providing sufficient dynamic pressure to enable lift and/or drag to significantly affect a specified trajectory during a specified time interval. Hence, the altitude of the upper limits of the sensible atmosphere is dependent upon several variables including the primary factors of vehicle speed and design (i.e., streamlining of the vehicle). By way of example. for time intervals of several seconds to a few minutes, the sensible atmosphere would be that atmosphere capable of providing lift and/or drag sufficient to increase or decrease total g by more than about 5%.

As utilized herein, including the claims, the term “translational” means motion of a body in a straight line (i.e., movement of an entire body up, down. left, right, forward, backward), as opposed to rotational motion of a body about an axis (i.e., pitch, yaw or roll).

Trajectories

Controlled Deceleration Trajectories

In order to accommodate adventure travelers (i.e., persons of varying physical capabilities and physical limitations having an interest in participating in an exotic and challenging experience), we have developed flight trajectories capable of safely providing passengers with an extended period of weightlessness (e.g., at least 1 minute and preferably at least 2 minutes) while subjecting the passengers to a maximum g force of less than 4 g, preferably less than 2 g, at a relatively reasonable expense.

Lofting Trajectory

As shown in FIG. 1. the lofting trajectory provides for controlled deceleration of a vehicle reentering the sensible atmosphere by executing a lofting translational rocket burn at an altitude of greater than about 40 km, preferably at an altitude of greater than about 50 km. The execution of a lofting translational rocket burn at this altitude counteracts vertical acceleration of the vehicle due to gravity, and can enhance lift (wing lift and/or body lift) by changing the horizontal velocity and increasing the time in the upper atmosphere during which lift can be effective. A vehicle reentering the sensible atmosphere on a lofting trajectory can readily achieve reentry with a maximum accelerative force of less than 4 g, with reentry achievable with a maximum accelerative force of less than 2 g through the use of an amount of additional fuel capable of being reasonably accommodated aboard a modestly sized vehicle (e.g., a vehicle capable of landing on an ordinary commercial runway).

Those skilled in the art of space flight can readily calculate the specific strength, timing, duration and direction of the thrust produced during the lofting translational rocket burn necessary and appropriate for achieving the desired decelerative effect for a given vehicle traveling along a specified flight path.

Without intending to be unduly limited thereby, it is generally desired to initiate and complete the lofting translational rocket burn at an altitude of greater than about 40 km, preferably at an altitude of greater than about 50 km. A lofting translational rocket burn continued after the vehicle reaches about 40 km tends to actually augment certain components of the decelerative drag imposed upon the vehicle by the atmosphere at such altitudes (i.e., the lofting translational rocket burn begins to mimic the effect of a deceleration augmented challenge trajectory).

In a preferred embodiment, the specific direction of the lofting translational rocket burn also serves to increase the downrange velocity of the vehicle and thereby provide a positive increase in the amount of aerodynamic lift.

Power Dive Trajectory

As shown in FIG. 2. the power dive trajectory provides for controlled deceleration of a vehicle upon reentry into the sensible atmosphere by executing a power dive rocket burn after the vehicle has entered the sensible atmosphere. The execution of a power dive rocket burn after entering the sensible atmosphere counteracts deceleration of the vehicle imposed by atmospheric drag. A vehicle reentering the sensible atmosphere on a power dive trajectory can readily achieve reentry with a maximum accelerative force of less than 4 g, with reentry achievable with a maximum accelerative force of less than 2 g through the use of an amount of additional fuel capable of being reasonably accommodated aboard a modestly sized vehicle (e.g., a vehicle capable of landing on an ordinary commercial runway).

Those skilled in the art of space flight can readily calculate the specific strength, timing, duration and direction of the thrust produced during the power dive rocket burn necessary and appropriate e for achieving the desired decelerative effect for a given vehicle traveling along a specified flight path.

Challenge Trajectories

In order to accommodate those adventure travelers desiring an extreme challenge, we have developed flight trajectories capable of safely providing passengers with an extended period of weightlessness (e.g., at least 1 minute and preferably at least 2 minutes) while subjecting the passengers to an elevated g force of greater than 4 g, preferably less than 6 g, upon reentry into the atmosphere at relatively reasonable expense. Such elevated g force can be achieved without significantly compromising the overall safety of the flight.

Speed Augmented Challenge Trajectory

As shown in FIG. 3. the speed augmented challenge trajectory provides adventure travelers an opportunity to experience an extreme challenge (i.e., increased g force deceleration) by initiating a downward translational rocket burn after achieving apogee and prior to reentering the sensible atmosphere. The execution of a downward translational rocket burn after achieving apogee and prior to reentering the sensible atmosphere increases the velocity of the vehicle prior to reentry into the atmosphere and thereby increases the maximum decelerative drag force imposed upon the vehicle during reentry. A vehicle reentering the sensible atmosphere on a speed augmented challenge trajectory can readily achieve reentry with a maximum accelerative force of greater than 4 g, with reentry achievable with a maximum accelerative force of greater than 6 g through the use of an amount of additional fuel capable of being reasonably accommodated aboard a modestly sized vehicle (e.g., a vehicle capable of landing on an ordinary commercial runway) and without significantly compromising the safety of the flight.

Those skilled in the art of space flight can readily calculate the specific strength, timing, duration and direction of the thrust produced during the downward translational rocket burn necessary an d appropriate for achieving the desired decelerative effect upon reentry into the atmosphere for a given vehicle traveling along a specified flight path.

Deceleration Augmented Challenge Trajectory

As shown in FIG. 4. the deceleration augmented challenge trajectory provides adventure travelers an opportunity to experience an extreme challenge (i. e., increased g force deceleration) by executing an upward translational rocket burn after reentering the sensible atmosphere so as to augment the decelerative drag force imposed upon the vehicle during reentry. The deceleration augmented challenge trajectory can readily produce a maximum decelerative force of greater than 4 g, with a maximum decelerative force of greater than 6 g readily achievable through the use of an amount of additional fuel capable of being reasonably accommodated aboard a modestly sized vehicle (e.g., a vehicle capable of landing on an ordinary commercial runway) and without significantly compromising the safety of the flight.

Those skilled in the art of space flight can readily calculate the specific strength, timing, duration and direction of the thrust produced during the upward translational rocket burn necessary and appropriate for achieving the desired decelerative effect for a given vehicle traveling along a specified flight path.

Skydiver Trajectory

In order to accommodate persons seeking an extreme skydiving experience. we have developed a flight trajectory capable of safely providing an extended period of minimized dynamic pressure observed at apogee (i.e., about 10 to 30 seconds of nearly zero vertical velocity) during which a skydiver can jump from the vehicle.

As shown in FIG. 5. the skydiver trajectory facilitates extreme altitude skydiving from a vehicle traveling proximate the edge of the sensible atmosphere by executing an upward translational rocket burn through apogee wherein the thrust of the burn is sufficient to substantially counterbalance the downward accelerative force of gravity, and thereby extend the period of minimized dynamic pressure observed at apogee.

Those skilled in the art of space flight can readily calculate the specific strength, timing, duration and direction of the thrust produced during the upward translational rocket burn necessary and appropriate for counterbalancing the downward accelerative force of gravity and extending the period of minimized dynamic pressure observed at apogee for a given vehicle traveling along a specified flight path.

EXAMPLES Example 1

The space vehicle (hereinafter “Cruiser”) 10 is mated underneath a carrier vehicle (hereinafter “Lifter”) 20 equipped to accommodate the Cruiser 10. As shown in FIG. 6a, the Lifter 20, powered by two above-the-wing mounted turbojet engines and augmented by the Cruiser's two air breathing jet engines, takes off at an initial climb angle of 20-25° after a 1,500 to 2,000 foot take-off roll. The Lifter 20 climbs to approximately 40,000 feet in about 30 minutes and then gradually proceeds to the launch window at 50,000 feet.

As shown in FIG. 6b the Cruiser 10 is separated from the Lifter 20 and the Cruiser's three rocket motors ignited. Upon confirmation that the rocket motors are operational, the Cruiser's two jet engines are shut down. The three rockets accelerate the Cruiser 10 into a steep 2 g climb at a gamma angle of approximately 57° up to a rocket cut-out altitude of approx. 63 km. The 2 g boost phase lasts approximately 100 sec.

After rocket cut out, passengers begin a free fall phase during which the passengers experience near weightlessness. The free fall phase lasts approximately 2½ minutes.

The Cruiser 10 continues along a ballistic trajectory to an altitude of approximately 100 km. The Cruiser 10 is slowly rotated about the longitudinal axis using maneuvering rockets on the Cruiser 10 to invert the Cruiser 10, nose high, just prior to apogee. The Cruiser's slow rotation about the longitudinal axis continues until the Cruiser 10 is right side up just prior to initiation of the lofting rocket burn.

The desired lofting attitude is achieved with the maneuvering rockets and the main rocket motors ignited to initiate the lofting rocket burn. The lofting rocket burn lasts approximately 30 seconds with a maximum of 2 g exerted upon the Cruiser 10 by the rockets. The main rocket motors are then shut down and the Cruiser 10 allowed to glide back into the thicker atmosphere.

The Cruiser 10 begins to experience some aerodynamic effects at an altitude of approximately 45 to 50 km, resulting in an approximate 2 g decelerative force exerted upon the Cruiser 10 for approximately 60 seconds. The Cruiser 10 recovers to level flight at an altitude of approximately 22 to 25 km, and thereafter decelerates to a target airspeed for final descent and landing.

The theoretical flight data for such a flight, under the specific flight parameters specified below in Table 1, are provided in Tables 2 a, 2 b and 2 c. A schematic diagram of the flight trajectory (altitude vs. range) is shown in FIG. 7a, with the calculated thermal profile of the flight graphically depicted in FIG. 7b. Also provided for comparative purposes in Tables 3 a, 3 b and 3 c is the theoretical flight data for an identical flight absent execution of the lofting rocket burn. A schematic diagram of the comparative flight trajectory (altitude vs. range) is shown in FIG. 8a, with the calculated thermal profile of the comparative flight graphically depicted in FIG. 8b. As can be seen from this data, execution of the lofting rocket bum prior to reentry into the sensible atmosphere significantly reduces the maximum g forces and the maximum temperature experienced by the Cruiser with a modest expenditure of fuel.

GLOSSARY TERM DEFINITION AND UNITS axial Axial Vector of Force (g) extending tail to nose through the space vehicle. g vector Angle of total g relative to the axial vector (i.e., axis of space vehicle extending tail to nose). h Altitude (height above sea level) (m) Δh Change in Altitude (m). norm Normal Vector of Force (g) extending floor to ceiling through the space vehicle. q Dynamic Pressure (Pa) Range Distance of downrange ground distance travel. t Time (sec) total g Total Force (g) (total g² = axial² + norm²) v Velocity (m/sec) Δv Change in Velocity (m/sec). α (alpha) Angle of Attack. γ (gamma) Flight Path Angle (i.e., angle of velocity vector relative to local horizontal) Δγ (delta gamma) Change in Flight Path Angle. ρ (rho) Air Density (kg/m³)

TABLE 1 Assumptions and Flight Parameters Ratio of Coefficient of Drag to Coefficient of Lift selected from the commonly achievable design curve in FIG. 9 as appropriate to provide the 2 g or 4 g acceleration limit. Reference Area (0° Angle of Attack) = 52 m² Initial Mass = 11,750 kg Wing Loading @ Take-Off = 225.9 kg/m² Specific Impulse = 2,700 m/sec

TABLE 2A t h (m) v q norm g axial g total g h vector s m m/s Pa m/s/s m/s/s m/s/s rel Cruiser 0 15000 236 4125 1.12 −0.12 1.12 −93.93 1 15041 233 4002 1.08 −0.12 1.09 −93.93 2 15083 230 3881 1.05 −0.11 1.06 −93.93 3 15125 227 3761 1.02 −0.11 1.02 −93.93 4 15186 224 3645 0.99 −0.11 0.99 −93.93 5 15209 222 3531 1.47 0.98 1.77 −133.74 6 15251 229 3762 1.56 0.98 1.85 −132.18 7 15299 237 3988 1.65 0.98 1.92 −130.75 8 15354 244 4206 1.74 0.98 2.00 −129.47 9 15418 251 4414 1.62 0.98 1.89 −131.29 10 15491 258 4608 1.69 0.98 1.95 −130.22 11 15572 265 4789 1.75 0.98 2.01 −129.27 12 15663 271 4956 1.58 0.98 1.86 −131.86 13 15763 277 5105 1.63 0.98 1.90 −131.09 14 15872 283 5240 1.68 0.98 1.94 −130.41 15 15989 288 5360 1.72 0.98 1.98 −129.81 16 16115 294 5462 1.75 0.98 2.01 −129.30 17 16251 299 5545 1.78 0.98 2.04 −128.87 18 16398 304 5610 1.81 0.98 2.06 −128.52 19 16554 308 5655 1.83 0.98 2.08 −128.26 20 16720 313 5680 1.84 0.98 2.09 −128.07 21 16898 317 5686 1.85 0.98 2.10 −127.95 22 17085 321 5672 1.86 0.98 2.10 −127.91 23 17284 324 5639 1.85 0.98 2.10 −127.95 24 17492 327 5588 1.84 0.98 2.09 −128.05 25 17711 330 5521 1.83 0.98 2.08 −128.22 26 17940 333 5438 1.81 0.98 2.06 −128.45 27 18179 336 5341 1.79 0.98 2.04 −128.75 28 18427 338 5231 1.76 0.98 2.02 −129.12 29 18685 341 5111 1.73 0.98 1.99 −129.54 30 18950 342 4980 1.50 1.28 1.98 −140.55 31 19225 347 4925 1.50 1.31 1.99 −141.11 32 19508 352 4865 1.49 1.33 2.00 −141.71 33 19800 357 4800 0.76 1.84 1.99 −165.47 34 20102 367 4854 0.71 1.88 2.01 −165.37 35 20413 377 4906 0.65 1.92 2.02 −165.29 36 20733 387 4953 0.59 1.95 2.04 −165.24 37 21063 398 4996 0.60 1.99 2.08 −165.26 38 21403 409 5033 0.61 1.98 2.08 −165.02 39 21752 420 5054 0.69 1.98 2.09 −164.88 40 22111 431 5059 0.62 1.98 2.07 −164.67 41 22481 442 5050 0.62 1.97 2.07 −164.56 42 22861 453 5026 0.62 1.97 2.07 −164.49 43 23250 464 4989 0.62 1.97 2.06 −164.46 44 23650 475 4939 0.62 1.96 2.06 −164.48 45 24059 486 4877 0.62 1.96 2.06 −164.54 46 24478 496 4803 0.61 1.96 2.05 −164.63 47 24907 507 4719 0.34 1.96 1.99 −172.18 48 25346 518 4626 0.34 1.96 1.99 −172.26 49 25793 529 4526 0.33 1.96 1.99 −172.37 50 26249 539 4419 0.33 1.96 1.98 −172.48 51 26713 550 4306 0.32 1.96 1.98 −172.62 52 27186 561 4188 0.32 1.96 1.99 −172.77 53 27666 572 4066 0.55 1.96 2.03 −166.18 54 28155 583 3940 0.54 1.96 2.03 −166.50 55 28654 593 3810 0.64 1.95 2.05 −166.90 56 29162 604 3677 0.63 1.95 2.05 −167.25 57 29679 615 3541 0.61 1.96 2.05 −167.62 58 30207 626 3404 0.60 1.96 2.05 −168.01 59 30744 636 3265 0.58 1.96 2.04 −168.40 60 31290 647 3127 0.57 1.96 2.04 −168.79 61 31847 658 2988 0.55 1.96 2.04 −169.19 62 32413 669 2850 0.54 1.96 2.03 −169.60 63 32988 679 2713 0.52 1.96 2.03 −170.01 64 33573 690 2579 0.51 1.96 2.02 −170.42 65 34167 701 2446 0.67 1.94 2.05 −170.89 66 34771 711 2315 0.66 1.94 2.04 −171.30 67 35384 722 2186 0.64 1.93 2.04 −171.70 68 36007 732 2061 0.62 1.93 2.03 −171.10 69 36640 743 1940 0.61 1.93 2.03 −172.50 70 37283 753 1822 0.60 1.93 2.02 −172.89 71 37935 764 1709 0.58 1.93 2.02 −173.27 72 38597 774 1600 0.57 1.93 2.01 −173.64 73 39268 785 1495 0.55 1.93 2.01 −174.00 74 39949 795 1395 0.54 1.93 2.01 −174.35 75 40639 806 1299 0.53 1.94 2.01 −174.70 76 41338 816 1208 0.52 1.94 2.01 −175.04 77 42046 827 1122 0.51 1.94 2.01 −175.36 78 42764 837 1040 0.42 1.95 1.99 −177.75 79 43491 848 963 0.42 1.95 1.99 −177.90 80 44227 858 890 0.41 1.95 2.00 −178.05 81 44971 869 821 0.41 1.95 2.00 −178.19 82 45725 880 757 0.40 1.96 2.00 −178.32 83 46487 890 696 0.23 1.98 1.99 −178.47 84 47258 901 640 0.22 1.98 2.00 −178.59 85 48037 912 588 0.22 1.99 2.00 −178.69 86 48824 923 539 0.26 1.99 2.00 −177.63 87 49619 934 493 0.25 1.99 2.00 −177.82 88 50422 945 451 0.24 1.99 2.01 −177.99 89 51234 956 412 0.24 1.99 2.01 −178.16 90 52054 968 375 0.23 1.99 2.01 −178.31 91 52881 979 342 0.23 2.00 2.01 −178.45 92 53717 990 311 0.22 2.00 2.01 −178.58 93 54561 1001 282 0.22 2.00 2.01 −178.70 94 55413 1012 256 0.20 2.00 2.01 −179.40 95 56273 1024 232 0.16 1.61 1.62 −179.32 96 57141 1031 208 0.13 1.30 1.30 −179.23 97 58014 1036 186 0.11 1.04 1.05 −179.14 98 58888 1038 165 0.09 0.84 0.84 −179.05 99 59761 1038 146 0.07 0.67 0.67 −178.95 100 60632 1036 129 0.06 0.54 0.54 −178.84 101 61499 1033 113 0.05 0.43 0.43 −178.72 102 62360 1029 99 0.04 0.34 0.35 −178.60 103 63216 1024 87 0.03 0.28 0.28 −178.46 104 64065 1019 77 0.03 0.22 0.22 −178.31 105 64907 1013 67 0.01 −0.00 0.01 −72.85 106 65741 1005 59 0.00 −0.00 0.01 −72.85 107 66565 997 52 0.00 −0.00 0.00 −72.85 108 67379 989 45 0.00 −0.00 0.00 72.85 109 68183 981 40 0.00 −0.00 0.00 −72.85 110 68978 973 35 0.00 −0.00 0.00 −72.85 111 69763 965 31 0.00 −0.00 0.00 −72.85 112 70538 957 27 0.00 −0.00 0.00 −72.85 113 71303 949 24 0.00 −0.00 0.00 −72.85 114 72059 941 21 0.00 −0.00 0.00 −72.85 115 72805 933 19 0.00 −0.00 0.00 −72.85 116 73541 926 17 0.00 −0.00 0.00 0.00 117 74267 918 15 0.00 −0.00 0.00 0.00 118 74983 910 13 0.00 −0.00 0.00 0.00 119 75890 903 12 0.00 −0.00 0.00 0.00 120 76387 895 10 0.00 −0.00 0.00 0.00 121 77074 888 9 0.00 −0.00 0.00 0.00 122 77751 880 8 0.00 −0.00 0.00 0.00 123 78419 873 7 0.00 −0.00 0.00 0.00 124 79076 865 7 0.00 −0.00 0.00 0.00 125 79724 858 6 0.00 −0.00 0.00 0.00 126 80362 851 5 0.00 −0.00 0.00 0.00 127 80991 843 5 0.00 −0.00 0.00 0.00 128 81609 836 4 0.00 −0.00 0.00 0.00 129 82218 829 4 0.00 −0.00 0.00 0.00 130 82817 822 4 0.00 −0.00 0.00 0.00 131 83406 815 3 0.00 −0.00 0.00 0.00 132 83986 808 3 0.00 −0.00 0.00 0.00 133 84555 801 3 0.00 −0.00 0.00 0.00 134 85115 794 2 0.00 −0.00 0.00 0.00 135 85665 788 2 0.00 −0.00 0.00 0.00 136 86206 781 2 0.00 −0.00 0.00 0.00 137 88736 774 2 0.00 −0.00 0.00 0.00 138 87257 768 2 0.00 −0.00 0.00 0.00 139 87768 761 2 0.00 −0.00 0.00 0.00 140 88269 755 1 0.00 −0.00 0.00 0.00 141 88761 748 1 0.00 −0.00 0.00 0.00 142 89242 742 1 0.00 −0.00 0.00 0.00 143 89714 736 1 0.00 −0.00 0.00 0.00 144 90176 730 1 0.00 −0.00 0.00 0.00 145 90629 723 1 0.00 −0.00 0.00 0.00 146 91071 717 1 0.00 −0.00 0.00 0.00 147 91504 712 1 0.00 −0.00 0.00 0.00 148 91927 706 1 0.00 −0.00 0.00 0.00 149 92340 700 1 0.00 −0.00 0.00 0.00 150 92744 694 1 0.00 −0.00 0.00 0.00 151 93137 689 1 0.00 −0.00 0.00 0.00 152 93521 683 1 0.00 −0.00 0.00 0.00 153 93895 678 1 0.00 −0.00 0.00 0.00 154 94260 673 0 0.00 −0.00 0.00 0.00 155 94614 667 0 0.00 −0.00 0.00 0.00 156 94959 662 0 0.00 −0.00 0.00 0.00 157 95294 657 0 0.00 −0.00 0.00 0.00 158 95819 653 0 0.00 −0.00 0.00 0.00 159 95935 648 0 0.00 −0.00 0.00 0.00 160 96241 643 0 0.00 −0.00 0.00 0.00 161 96537 639 0 0.00 −0.00 0.00 0.00 162 96823 634 0 0.00 −0.00 0.00 0.00 163 97099 630 0 0.00 −0.00 0.00 0.00 164 97366 626 0 0.00 −0.00 0.00 0.00 165 97623 622 0 0.00 −0.00 0.00 0.00 166 97870 618 0 0.00 −0.00 0.00 0.00 167 98107 614 0 0.00 −0.00 0.00 0.00 168 98335 611 0 0.00 −0.00 0.00 0.00 169 98552 607 0 0.00 −0.00 0.00 0.00 170 98760 604 0 0.00 −0.00 0.00 0.00 171 98959 601 0 0.00 −0.00 0.00 0.00 172 99147 597 0 0.00 −0.00 0.00 0.00 173 99326 595 0 0.00 −0.00 0.00 0.00 174 99495 592 0 0.00 −0.00 0.00 0.00 175 99654 589 0 0.00 −0.00 0.00 0.00 176 99803 587 0 0.00 −0.00 0.00 0.00 177 99943 584 0 0.00 −0.00 0.00 0.00 178 100072 582 0 0.00 −0.00 0.00 0.00 179 100192 580 0 0.00 −0.00 0.00 0.00 180 100303 578 0 0.00 −0.00 0.00 0.00 181 100403 577 0 0.00 −0.00 0.00 0.00 182 100494 575 0 0.00 −0.00 0.00 0.00 183 100575 574 0 0.00 −0.00 0.00 0.00 184 100646 572 0 0.00 −0.00 0.00 0.00 185 100707 571 0 0.00 −0.00 0.00 0.00 186 100758 570 0 0.00 −0.00 0.00 0.00 187 100800 570 0 0.00 −0.00 0.00 0.00 188 100832 569 0 0.00 −0.00 0.00 0.00 189 100854 569 0 0.00 −0.00 0.00 0.00 190 100866 569 0 0.00 −0.00 0.00 0.00 191 100869 569 0 0.00 −0.00 0.00 0.00 192 100862 569 0 0.00 −0.00 0.00 0.00 193 100844 569 0 0.00 −0.00 0.00 0.00 194 100818 569 0 0.00 −0.00 0.00 0.00 195 100781 570 0 0.00 −0.00 0.00 0.00 196 100734 571 0 0.00 −0.00 0.00 0.00 197 100678 572 0 0.00 −0.00 0.00 0.00 198 100612 573 0 0.00 −0.00 0.00 0.00 199 100536 574 0 0.00 −0.00 0.00 0.00 200 100450 576 0 0.00 −0.00 0.00 0.00 201 100355 577 0 0.00 −0.00 0.00 0.00 202 100249 579 0 0.00 −0.00 0.00 0.00 203 100134 581 0 0.00 −0.00 0.00 0.00 204 100009 583 0 0.00 −0.00 0.00 0.00 205 99874 586 0 0.00 −0.00 0.00 −85.89 206 99730 588 0 0.00 −0.00 0.00 −85.89 207 99575 590 0 0.00 −0.00 0.00 −85.89 208 99411 593 0 0.00 −0.00 0.00 −85.89 209 99237 596 0 0.00 −0.00 0.00 −85.89 210 99053 599 0 0.00 −0.00 0.00 −85.89 211 98859 602 0 0.00 −0.00 0.00 −85.89 212 98656 606 0 0.00 −0.00 0.00 −85.89 213 98442 609 0 0.00 −0.00 0.00 −85.89 214 98219 613 0 0.00 −0.00 0.00 −85.89 215 97986 616 0 0.00 −0.00 0.00 −85.89 216 97743 620 0 0.00 −0.00 0.00 −85.89 217 97491 624 0 0.00 −0.00 0.00 −85.89 218 97228 628 0 0.00 −0.00 0.00 −85.89 219 96956 633 0 0.00 −0.00 0.00 −85.89 220 96674 637 0 0.00 −0.00 0.00 −85.89 221 96382 641 0 0.00 −0.00 0.00 −85.89 222 96080 646 0 0.00 −0.00 0.00 −85.89 223 95768 651 0 0.00 −0.00 0.00 −85.89 224 95447 656 0 0.00 −0.00 0.00 −85.89 225 95116 661 0 0.00 −0.00 0.00 −85.89 226 94775 668 0 0.00 −0.00 0.00 −85.89 227 94424 671 0 0.00 −0.00 0.00 −85.89 228 94063 676 0 0.00 −0.00 0.00 −85.89 229 93692 681 1 0.00 −0.00 0.00 −85.89 230 93312 687 1 0.00 −0.00 0.00 −85.89 231 92922 692 1 0.00 −0.00 0.00 −85.89 232 92522 698 1 0.00 −0.00 0.00 −85.89 233 92112 704 1 0.00 −0.00 0.00 −85.89 234 91692 710 1 0.00 −0.00 0.00 −85.89 235 91263 716 1 0.00 −0.00 0.00 −85.89 236 90824 722 1 0.00 −0.00 0.00 −85.89 237 90374 728 1 0.00 −0.00 0.00 −85.89 238 89915 734 1 0.00 −0.00 0.00 −85.89 239 89447 740 1 0.00 −0.00 0.00 −85.89 240 88968 747 1 0.00 −0.00 0.00 −85.89 241 88480 753 1 0.00 −0.00 0.00 −85.89 242 87981 759 1 0.00 −0.00 0.00 −85.89 243 87473 766 2 0.00 −0.00 0.00 −85.89 244 86956 773 2 0.00 −0.00 0.00 −155.89 245 86428 779 2 0.00 −0.00 0.00 −155.89 246 85890 786 2 0.00 −0.00 0.00 −155.89 247 85343 793 2 0.00 −0.00 0.00 −155.89 248 84786 800 3 0.00 −0.00 0.00 −155.89 249 84219 807 3 0.00 −0.00 0.00 −155.89 250 83642 814 3 0.00 −0.00 0.00 −155.89 251 83056 821 3 0.00 −0.00 0.00 −155.89 252 82460 828 4 0.00 −0.00 0.00 −155.89 253 81853 835 4 0.00 −0.00 0.00 −155.89 254 81237 842 5 0.00 −0.00 0.00 −155.89 255 80612 849 5 0.00 −0.00 0.00 −155.89 256 79976 857 6 0.00 −0.00 0.00 −155.89 257 79331 864 6 0.00 −0.00 0.00 −155.89 258 78676 872 7 0.00 −0.00 0.00 −155.89 259 78011 879 8 0.00 −0.00 0.00 −155.89 260 77336 886 9 0.00 −0.00 0.01 −155.89 261 76652 894 10 0.00 −0.00 0.01 −155.89 262 75958 902 11 0.00 −0.00 0.01 −155.89 263 75254 909 13 1.98 −0.35 2.01 −179.91 264 74540 913 14 1.98 −0.35 2.01 −179.90 265 73831 918 16 1.98 −0.35 2.01 −179.89 266 73128 922 18 1.98 −0.35 2.01 −179.87 267 72430 926 19 1.98 −0.35 2.01 −179.86 268 71738 929 22 1.98 −0.36 2.01 −179.84 269 71051 933 24 1.98 −0.36 2.02 −179.82 270 70370 937 27 1.99 −0.36 2.02 −179.80 271 69696 940 30 1.99 −0.36 2.02 −179.78 272 69028 944 33 1.99 −0.36 2.02 −179.76 273 68366 947 36 1.99 −0.36 2.02 −179.73 274 67711 951 40 1.99 −0.36 2.03 −179.70 275 67062 954 44 1.99 −0.36 2.03 −179.67 276 66421 957 49 2.00 −0.37 2.03 −179.63 277 65787 960 53 2.00 −0.37 2.03 −179.59 278 65160 962 59 2.00 −0.37 2.04 −179.55 279 64541 965 64 2.01 −0.37 2.04 −179.50 280 63929 968 70 2.01 −0.37 2.05 −179.45 281 63325 970 77 2.01 −0.38 2.05 −179.40 282 62729 972 84 2.02 −0.38 2.05 −179.34 283 62141 975 92 2.02 −0.38 2.06 −179.27 284 61562 977 100 2.03 −0.39 2.07 −179.20 285 60991 979 109 2.03 −0.39 2.07 −179.13 286 60428 980 118 2.04 −0.39 2.08 −179.05 287 59875 982 129 2.05 −0.40 2.09 −178.97 288 59330 984 139 2.05 −0.40 2.09 −178.88 289 58794 985 151 2.06 −0.41 2.10 −178.78 290 58268 986 163 2.07 −0.41 2.11 −178.68 291 57751 987 175 2.08 −0.42 2.12 −178.57 292 57244 988 188 2.09 −0.43 2.13 −178.46 293 56746 989 202 2.10 −0.43 2.14 −178.34 294 56259 990 217 2.11 −0.44 2.15 −178.22 295 55782 990 232 2.12 −0.45 2.16 −178.09 296 55315 990 248 0.16 −0.11 0.19 −150.89 297 54859 994 267 0.17 −0.11 0.20 −145.89 298 54395 997 287 0.18 −0.12 0.22 −140.89 299 53923 1001 308 0.20 −0.13 0.24 −135.89 300 53443 1004 332 0.21 −0.14 0.25 −130.89 301 52956 1007 358 0.23 −0.15 0.27 −125.89 302 52461 1011 387 0.24 −0.17 0.30 −120.89 303 51960 1014 418 0.26 −0.18 0.32 −115.89 304 51451 1017 451 0.29 −0.19 0.35 −110.89 305 50936 1020 488 0.31 −0.21 0.37 −105.89 306 50415 1023 529 0.33 −0.23 0.40 −100.89 307 49887 1026 573 0.36 −0.25 0.44 −95.89 308 49353 1029 620 0.39 −0.27 0.47 −90.89 309 48814 1031 673 0.43 −0.29 0.51 −85.89 310 48270 1033 730 0.46 −0.31 0.56 −85.89 311 47721 1036 792 0.50 −0.34 0.61 −85.89 312 47167 1037 859 0.54 −0.37 0.66 −85.89 313 46610 1039 932 0.59 −0.40 0.71 −85.89 314 46049 1041 1011 0.64 −0.43 0.77 −85.89 315 45486 1042 1097 0.69 −0.47 0.84 −85.89 316 44920 1042 1190 0.75 −0.51 0.91 −85.89 317 44353 1043 1289 0.82 −0.55 0.99 −85.89 318 43785 1043 1396 0.88 −0.60 1.07 −85.89 319 43217 1042 1511 0.96 −0.65 1.16 −85.89 320 42649 1041 1634 1.04 −0.70 1.25 −85.89 321 42083 1039 1764 1.12 −0.76 1.35 −85.89 322 41520 1037 1902 1.21 −0.82 1.46 −85.89 323 40959 1035 2048 1.30 −0.88 1.57 −85.89 324 40404 1031 2200 1.39 −0.94 1.68 −85.89 325 39854 1027 2359 1.49 −1.01 1.81 −85.89 326 39310 1023 2523 1.60 −1.08 1.93 −85.89 327 38774 1017 2692 1.59 −1.16 1.97 −83.13 328 38248 1011 2863 1.68 −0.89 1.90 −90.35 329 37731 1007 3057 1.68 −0.95 1.93 −88.02 330 37222 1003 3256 1.68 −1.01 1.96 −85.68 331 36723 998 3459 1.68 −1.07 1.99 −83.28 332 36233 992 3664 1.67 −1.13 2.02 −80.88 333 35753 986 3870 1.66 −1.20 2.05 −78.46 334 35283 979 4076 1.65 −1.26 2.07 −76.04 335 34822 971 4280 1.62 −1.33 2.10 −73.61 336 34372 962 4481 1.67 −0.97 1.93 −81.86 337 33933 957 4717 1.72 −1.02 2.00 −80.69 338 33502 952 4954 1.72 −1.08 2.02 −78.74 339 33081 946 5188 1.71 −1.13 2.05 −76.77 340 32670 939 5418 1.77 −0.80 1.94 −85.11 341 32269 935 5688 1.76 −0.84 1.95 −83.40 342 31877 931 5958 1.75 −0.88 1.96 −81.87 343 31495 926 6225 1.74 −0.92 1.97 −79.91 344 31122 921 6489 1.72 0.96 1.97 −78.14 345 30758 916 6748 1.70 −1.00 1.97 −76.36 346 30404 910 7000 1.68 −1.04 1.97 −74.55 347 30059 903 7245 1.65 −1.07 1.97 −72.73 348 29723 896 7480 1.68 −0.75 1.85 −81.27 349 29396 893 7766 1.73 −0.78 1.90 −80.60 350 29078 888 8047 1.78 −0.81 1.95 −79.93 351 28768 884 8320 1.82 −0.84 2.00 −79.28 352 28468 879 8584 1.82 −0.86 2.01 −78.19 353 28177 874 8837 1.82 −0.89 2.02 −77.10 354 27896 868 9077 1.81 −0.91 2.03 −76.01 355 27625 862 9303 1.80 −0.94 2.03 −74.92 356 27364 856 9513 1.79 −0.96 2.03 −73.83 357 27113 850 9707 1.78 −0.98 2.03 −72.86 358 26871 843 9883 1.76 −0.99 2.02 −71.89 359 26638 836 10042 1.75 −1.01 2.02 −70.93 360 26415 828 10182 1.75 −1.02 2.03 −70.35 361 26202 821 10304 1.86 −0.75 2.01 −78.47 362 25998 816 10479 1.88 −0.76 2.02 −77.96 363 25803 811 10635 1.88 −0.77 2.04 −77.46 364 25618 806 10773 1.89 −0.78 2.05 −76.96 365 25443 800 10891 1.89 −0.79 2.05 −76.48 366 25278 794 10988 1.89 −0.80 2.05 −76.00 367 25123 788 11065 1.88 −0.80 2.05 −75.52 368 24978 782 11120 1.87 −0.81 2.04 −75.06 369 24842 776 11156 1.88 −0.81 2.05 −74.81 370 24716 770 11171 1.88 −0.81 2.05 −74.56 371 24600 763 11166 1.88 −0.81 2.05 −74.72 372 24493 757 11141 1.88 −0.81 2.04 −74.88 373 24395 750 11097 1.87 −0.81 2.04 −75.04 374 24307 743 11034 1.86 −0.80 2.02 −75.21 375 24229 737 10954 1.85 −0.79 2.01 −75.38 376 24159 730 10857 1.83 −0.79 1.99 −75.55 377 24098 723 10744 1.85 −0.78 2.00 −76.14 378 24046 716 10616 1.86 −0.77 2.01 −76.72 379 24003 709 10475 1.87 −0.76 2.02 −77.31

TABLE 2B t Gamma m Range Lift Drag s deg kg km N N 0 10.0 11750 0 128695 13685 1 10.3 11750 0 124865 13277 2 10.6 11750 0 121080 12875 3 10.7 11750 1 117358 12479 4 10.8 11750 1 113718 12092 5 10.8 11750 1 146900 15094 6 12.1 11702 1 156500 16080 7 13.5 11653 2 165899 17046 8 15.1 11605 2 174977 17979 9 16.9 11556 2 160657 16594 10 18.4 11508 2 167715 17323 11 20.0 11459 3 174319 18005 12 21.7 11411 3 154614 16441 13 23.1 11364 3 159285 16937 14 24.5 11316 3 163503 17386 15 26.0 11269 4 167224 17781 16 27.6 11221 4 170405 18120 17 29.3 11174 4 173016 18397 18 31.0 11126 4 175031 18612 19 32.7 11079 5 176435 18761 20 34.5 11032 5 177221 18844 21 36.4 10985 5 177391 18863 22 38.2 10938 5 176957 18816 23 40.1 10891 6 175938 18708 24 42.0 10845 6 174361 18540 25 43.9 10798 6 172260 18317 26 45.7 10752 6 169673 18042 27 47.6 10707 7 166645 17720 28 49.5 10661 7 163221 17356 29 51.3 10616 7 159450 16955 30 53.2 10571 7 129484 14632 31 54.7 10516 7 128055 14470 32 56.1 10459 8 126486 14293 33 57.6 10403 8 49915 10632 34 58.0 10329 8 50486 10753 35 58.3 10254 8 51020 10867 36 58.4 10178 8 51512 10972 37 58.5 10102 9 51955 11066 38 58.7 10025 9 52338 11148 39 58.8 9949 9 52559 11195 40 59.0 9873 9 52613 11206 41 59.1 9798 9 52517 11186 42 59.3 9723 10 52272 11134 43 59.4 9650 10 51886 11052 44 59.5 9577 10 51366 10941 45 59.7 9504 10 50718 10803 46 59.8 9433 11 49953 10640 47 59.9 9362 11 24539 9988 48 59.7 9261 11 24057 9791 49 59.6 9221 11 23535 9579 50 59.4 9152 12 22979 9352 51 59.2 9084 12 22391 9113 52 59.0 9016 12 21778 8864 53 58.8 8948 13 42288 9007 54 58.8 8881 13 40977 8728 55 58.9 8815 13 39628 8441 56 59.0 8749 13 38241 8145 57 59.1 8684 14 36829 7845 58 59.2 8619 14 35399 7540 59 59.2 8555 14 33960 7233 60 59.3 8491 15 32517 6926 61 59.4 8428 15 31075 6619 62 59.4 8365 15 29641 6313 63 59.4 8303 16 28220 6011 64 59.4 8242 16 26818 5712 65 59.4 8181 16 25440 5419 66 59.6 8120 17 24074 5128 67 59.7 8061 17 22739 4843 68 59.8 8001 17 21439 4566 69 59.9 7943 18 20176 4297 70 60.0 7884 18 18954 4037 71 60.0 7827 19 17774 3786 72 60.1 7769 19 16639 3544 73 60.1 7713 19 15549 3312 74 60.2 7657 20 14506 3090 75 60.2 7601 20 13511 2878 76 60.2 7545 21 12564 2676 77 60.2 7491 21 11666 2485 78 60.3 7436 21 5407 2201 79 60.2 7382 22 5005 2037 80 60.2 7328 22 4626 1883 81 60.1 7275 23 4269 1738 82 60.0 7221 23 3934 1601 83 60.0 7169 24 3620 1473 84 59.8 7116 24 3328 1354 85 59.6 7065 24 3055 1243 86 59.5 7013 25 5602 1193 87 59.3 6962 25 5129 1092 88 59.1 6911 26 4689 999 89 59.0 6860 26 4282 912 90 58.8 6810 27 3904 832 91 58.7 6760 27 3555 757 92 58.5 6711 28 3233 689 93 58.3 6662 28 2936 625 94 58.2 6613 29 1331 542 95 58.0 6565 29 1206 491 96 57.8 6526 30 1083 441 97 57.5 6495 30 966 393 98 57.3 6470 31 857 349 99 57.1 6450 32 758 308 100 56.8 6434 32 668 272 101 56.6 6422 33 588 239 102 56.3 6412 33 517 210 103 56.0 6403 34 454 185 104 55.7 6397 34 399 162 105 55.4 6392 35 350 142 106 55.1 6392 36 306 125 107 54.8 6392 36 268 109 108 54.5 6392 37 235 96 109 54.1 6392 37 207 84 110 53.8 6392 38 182 74 111 53.5 6392 38 160 65 112 53.1 6392 39 141 58 113 52.8 6392 40 125 51 114 52.4 6392 40 110 45 115 52.0 6392 41 98 40 116 51.7 6392 41 0 52 117 51.3 6392 42 0 46 118 50.9 6392 42 0 41 119 50.5 6392 43 0 37 120 50.1 6392 44 0 33 121 49.7 6392 44 0 29 122 49.3 6392 45 0 26 123 48.9 6392 45 0 23 124 48.5 6392 46 0 21 125 48.0 6392 47 0 19 126 47.6 6392 47 0 17 127 47.2 6392 48 0 15 128 46.7 6392 48 0 14 129 46.3 6392 49 0 12 130 45.8 6392 49 0 11 131 45.3 6392 50 0 10 132 44.8 6392 51 0 9 133 44.3 6392 51 0 8 134 43.8 6392 52 0 7 135 43.3 6392 52 0 7 136 42.8 6392 53 0 6 137 42.3 6392 53 0 6 138 41.7 6392 54 0 5 139 41.2 6392 55 0 5 140 40.6 6392 55 0 4 141 40.1 6392 56 0 4 142 39.5 6392 56 0 4 143 38.9 6392 57 0 3 144 38.3 6392 57 0 3 145 37.7 6392 58 0 3 146 37.1 6392 59 0 3 147 36.5 6392 59 0 2 148 35.8 6392 60 0 2 149 35.2 6392 60 0 2 150 34.5 6392 61 0 2 151 33.9 6392 61 0 2 152 33.2 6392 62 0 2 153 32.5 6392 63 0 2 154 31.8 6392 63 0 1 155 31.1 6392 64 0 1 156 30.4 6392 64 0 1 157 29.7 6392 65 0 1 158 28.9 6392 65 0 1 159 28.2 6392 66 0 1 160 27.4 6392 67 0 1 161 26.6 6392 67 0 1 162 25.8 6392 68 0 1 163 25.0 6392 68 0 1 164 24.2 6392 69 0 1 165 23.4 6392 69 0 1 166 22.6 6392 70 0 1 167 21.7 6392 71 0 1 168 20.9 6392 71 0 1 169 20.0 6392 72 0 1 170 19.2 6392 72 0 1 171 18.3 6392 73 0 1 172 17.4 6392 73 0 1 173 16.5 6392 74 0 1 174 15.6 6392 75 0 1 175 14.7 6392 75 0 1 176 13.8 6392 76 0 1 177 12.8 6392 76 0 1 178 11.9 6392 77 0 0 179 11.0 6392 77 0 0 180 10.0 6392 78 0 0 181 9.0 6392 79 0 0 182 8.1 6392 79 0 0 183 7.1 6392 80 0 0 184 6.1 6392 80 0 0 185 5.2 6392 81 0 0 186 4.2 6392 81 0 0 187 3.2 6392 82 0 0 188 2.2 6392 82 0 0 189 1.2 6392 83 0 0 190 0.3 6392 84 0 0 191 −0.7 6392 84 0 0 192 −1.7 6392 85 0 0 193 −2.7 6392 85 0 0 194 −3.7 6392 86 0 0 195 −4.7 6392 86 0 0 196 −5.7 6392 87 0 0 197 −6.6 6392 88 0 0 198 −7.6 6392 88 0 0 199 −8.6 6392 89 0 0 200 −9.6 6392 89 0 0 201 −10.5 6392 90 0 0 202 −11.5 6392 90 0 0 203 −12.4 6392 91 0 0 204 −13.4 6392 92 0 0 205 −14.3 6392 92 5 3 206 −15.2 6392 93 5 4 207 −16.2 6392 93 5 4 208 −17.1 6392 94 6 4 209 −18.0 6392 94 6 4 210 −18.9 6392 95 6 4 211 −19.8 6392 96 6 4 212 −20.6 6392 96 6 4 213 −21.5 6392 97 7 5 214 −22.4 6392 97 7 5 215 −23.2 6392 98 7 5 216 −24.0 6392 98 8 5 217 −24.9 6392 99 8 5 218 −25.7 6392 100 9 6 219 −26.5 6392 100 9 6 220 −27.3 6392 101 9 6 221 −28.1 6392 101 10 7 222 −28.8 6392 102 11 7 223 −29.6 6392 102 11 8 224 −30.3 6392 103 12 8 225 −31.1 6392 103 13 9 226 −31.8 6392 104 14 9 227 −32.5 6392 105 14 10 228 −33.2 6392 105 15 10 229 −33.9 6392 106 16 11 230 −34.6 6392 106 18 12 231 −35.3 6392 107 19 13 232 −35.9 6392 107 20 14 233 −36.6 6392 108 22 15 234 −37.2 6392 109 24 16 235 −37.9 6392 109 26 17 236 −38.5 6392 110 28 19 237 −39.1 6392 110 30 20 238 −39.7 6392 111 33 22 239 −40.3 6392 111 35 24 240 −40.9 6392 112 38 26 241 −41.4 6392 113 42 28 242 −42.0 6392 113 46 31 243 −42.5 6392 114 50 34 244 −43.1 6392 114 55 37 245 −43.6 6392 115 60 41 246 −44.1 6392 115 66 45 247 −44.6 6392 116 72 49 248 −45.1 6392 116 80 54 249 −45.6 6392 117 88 59 250 −46.1 6392 118 97 66 251 −46.6 6392 118 107 72 252 −47.1 6392 119 118 80 253 −47.5 6392 119 131 89 254 −48.0 6392 120 146 99 255 −48.4 6392 120 162 110 256 −48.9 6392 121 180 122 257 −49.3 6392 122 200 136 258 −49.7 6392 122 224 151 259 −50.1 6392 123 250 169 260 −50.5 6392 123 279 189 261 −50.9 6392 124 313 212 262 −51.3 6392 124 351 238 263 −51.7 6392 125 394 267 264 −50.9 6345 125 440 298 265 −50.0 6299 126 490 332 266 −49.2 6253 127 546 370 267 −48.4 6208 127 608 412 268 −47.6 6163 128 676 458 269 −46.8 6118 129 750 508 270 −46.1 6074 129 832 564 271 −45.3 6030 130 922 625 272 −44.5 5986 130 1021 691 273 −43.8 5942 131 1128 764 274 −43.0 5899 132 1246 844 275 −42.3 5856 133 1374 931 276 −41.5 5814 133 1513 1025 277 −40.8 5772 134 1665 1128 278 −40.1 5730 135 1829 1239 279 −39.3 5688 135 2007 1359 280 −38.6 5647 136 2199 1490 281 −37.9 5606 137 2406 1630 282 −37.2 5565 138 2630 1781 283 −36.5 5525 138 2870 1944 284 −35.8 5484 139 3127 2118 285 −35.1 5445 140 3402 2305 286 −34.4 5405 141 3696 2504 287 −33.7 5366 142 4010 2716 288 −33.0 5327 142 4343 2942 289 −32.3 5288 143 4697 3181 290 −31.6 5250 144 5071 3434 291 −30.9 5211 145 5465 3702 292 −30.2 5174 146 5881 3983 293 −29.5 5136 147 6318 4279 294 −28.8 5099 148 6775 4589 295 −28.1 5062 148 7252 4912 296 −27.4 5025 149 7748 5248 297 −27.8 5025 150 8320 5636 298 −28.2 5025 151 8944 6058 299 −28.6 5025 152 9625 6519 300 −29.0 5025 153 10368 7022 301 −29.4 5025 154 11179 7572 302 −29.8 5025 155 12064 8171 303 −30.1 5025 155 13030 8825 304 −30.4 5025 156 14084 9540 305 −30.8 5025 157 15236 10320 306 −31.1 5025 158 16493 11171 307 −31.3 5025 159 17864 12100 308 −31.6 5025 160 19359 13113 309 −31.9 5025 161 20989 14217 310 −32.1 5025 162 22765 15419 311 −32.3 5025 162 24697 16728 312 −32.5 5025 163 26797 18151 313 −32.6 5025 164 29078 19695 314 −32.8 5025 165 31550 21370 315 −32.9 5025 166 34224 23181 316 −33.0 5025 167 37113 25138 317 −33.0 5025 168 40225 27246 318 −33.0 5025 169 43569 29511 319 −33.0 5025 169 47152 31937 320 −32.9 5025 170 50976 54528 321 −32.8 5025 171 55043 37282 322 −32.7 5025 172 59349 40199 323 −32.5 5025 173 63886 43272 324 −32.2 5025 174 68641 46493 325 −31.9 5025 175 73594 49848 326 −31.6 5025 176 78718 53318 327 −31.2 5025 176 78381 56882 328 −30.8 5025 177 82547 43656 329 −30.3 5025 178 82651 46614 330 −29.9 5025 179 82944 49644 331 −29.4 5025 180 82816 52731 332 −28.9 5025 181 82460 55857 333 −28.5 5025 182 81875 59000 334 −28.1 5025 182 81058 62140 335 −27.6 5025 183 80013 65254 336 −27.2 5025 184 82097 47908 337 −26.7 5025 185 84698 50434 338 −26.2 5025 186 84493 52960 339 −25.8 5025 187 84063 55464 340 −25.3 5025 188 86923 39559 341 −24.8 5025 188 86689 41529 342 −24.3 5025 189 86254 43496 343 −23.8 5025 190 85619 45448 344 −23.3 5025 191 84785 47374 345 −22.8 5025 192 83759 49264 346 −22.3 5025 193 82548 51107 347 −21.8 5025 194 81160 52892 348 −21.4 5025 194 82960 37069 349 −20.9 5025 195 85269 38485 350 −20.4 5025 196 87467 39876 351 −19.9 5025 197 89534 41231 352 −19.3 5025 198 89605 42540 353 −18.8 5025 199 89476 43792 354 −18.2 5025 199 89148 44981 355 −17.6 5025 200 88624 46100 356 −17.1 5025 201 87908 47142 357 −16.5 5025 202 87457 48102 358 −16.0 5025 203 86823 48978 359 −15.5 5025 203 86012 49765 360 −14.9 5025 204 86341 50460 361 −14.4 5025 205 91740 36809 362 −13.8 5025 206 92364 37434 363 −13.2 5025 207 92807 37994 364 −12.5 5025 207 93067 38485 365 −11.9 5025 208 93143 38905 366 −11.3 5025 209 93036 39253 367 −10.6 5025 210 92748 39527 368 −10.0 5025 211 92285 39727 369 −9.3 5025 211 92578 39853 370 −8.7 5025 212 92703 39907 371 −8.0 5025 213 92660 39889 372 −7.4 5025 214 92454 39800 373 −6.7 5025 214 92088 39642 374 −6.1 5025 215 91568 39418 375 −5.4 5025 216 90901 39131 376 −4.8 5025 217 90094 38784 377 −4.1 5025 217 90941 38381 378 −3.5 5025 218 91659 37925 379 −2.8 5025 219 92247 37420

TABLE 2C t rho Thrust del h del v del gam alpha s kg/m3 N m m/s deg deg 0 0.14812 0.0 41 −3 0.3 10.0 1 0.14727 0.0 42 −3 0.2 10.0 2 0.14640 0.0 42 −3 0.2 10.0 3 0.14554 0.0 42 −3 0.1 10.0 4 0.14467 0.0 42 −3 0.0 10.0 5 0.14382 130326.3 42 8 1.2 10.0 6 0.14298 130839.2 48 8 1.4 10.0 7 0.14201 131329.8 55 7 1.6 10.0 8 0.14091 131785.5 64 7 1.8 10.0 9 0.13965 129921.5 73 7 1.5 10.0 10 0.13822 130178.6 81 7 1.6 10.0 11 0.13665 130387.8 90 6 1.7 10.0 12 0.13492 128350.2 100 6 1.4 10.0 13 0.13303 128380.7 108 6 1.4 10.0 14 0.13101 128363.0 117 6 1.5 10.0 15 0.12886 128292.3 126 5 1.6 10.0 16 0.12659 128164.6 136 5 1.7 10.0 17 0.12418 127976.7 146 5 1.7 10.0 18 0.12165 127726.1 156 5 1.8 10.0 19 0.11901 127411.5 167 4 1.8 10.0 20 0.11624 127032.3 177 4 1.8 10.0 21 0.11338 126589.0 188 4 1.9 10.0 22 0.11042 126083.0 198 4 1.9 10.0 23 0.10738 125516.7 209 3 1.9 10.0 24 0.10427 124893.1 219 3 1.9 10.0 25 0.10110 124216.8 229 3 1.9 10.0 26 0.09789 123489.8 239 3 1.9 10.0 27 0.09466 122719.3 248 2 1.9 10.0 28 0.09141 121909.5 257 2 1.9 10.0 29 0.08815 121065.6 266 2 1.8 10.0 30 0.08491 150000.0 274 5 1.5 10.0 31 0.08170 151500.0 283 5 1.5 10.0 32 0.07850 153015.0 292 5 1.5 10.0 33 0.07533 200000.0 302 10 0.4 8.0 34 0.07220 202000.0 311 10 0.3 6.0 35 0.06911 204020.0 320 10 0.2 4.0 36 0.06606 206060.2 330 11 0.1 2.0 37 0.06306 208120.8 340 11 0.1 2.0 38 0.06011 206247.7 349 11 0.1 2.0 39 0.05723 204391.5 359 11 0.2 4.0 40 0.05440 202552.0 370 11 0.1 2.0 41 0.05164 200729.0 380 11 0.1 2.0 42 0.04895 198922.4 389 11 0.1 2.0 43 0.04634 197132.1 399 11 0.1 2.0 44 0.04381 195357.9 409 11 0.1 2.0 45 0.04135 193599.7 419 11 0.1 2.0 46 0.03898 191857.3 429 11 0.1 2.0 47 0.03670 190130.6 439 11 −0.2 2.0 48 0.03450 188419.4 447 11 −0.2 2.0 49 0.03239 186723.7 456 11 −0.2 2.0 50 0.03038 185043.1 464 11 −0.2 2.0 51 0.02845 183562.8 472 11 −0.2 2.0 52 0.02662 182094.3 481 11 −0.2 2.0 53 0.02488 180637.5 489 11 0.0 2.0 54 0.02322 179192.4 498 11 0.0 2.0 55 0.02165 177758.9 506 11 0.1 5.0 56 0.02015 176336.8 518 11 0.1 5.0 57 0.01874 174926.1 527 11 0.1 5.0 58 0.01740 173526.7 537 11 0.1 5.0 59 0.01613 172138.5 547 11 0.1 5.0 60 0.01493 170589.3 556 11 0.1 5.0 61 0.01381 169054.0 566 11 0.0 5.0 62 0.01275 167532.5 575 11 0.0 5.0 63 0.01176 166024.7 585 11 0.0 5.0 64 0.01083 164530.5 594 11 0.0 5.0 65 0.00996 163049.7 603 11 0.1 10.0 66 0.00915 161582.2 613 11 0.1 10.0 67 0.00839 160128.0 623 11 0.1 10.0 68 0.00768 158686.8 633 10 0.1 10.0 69 0.00703 157258.7 643 10 0.1 10.0 70 0.00642 155843.3 652 10 0.1 10.0 71 0.00586 154440.8 662 10 0.1 10.0 72 0.00534 153050.8 671 10 0.0 10.0 73 0.00485 151673.3 681 10 0.0 10.0 74 0.00441 150459.9 690 10 0.0 10.0 75 0.00400 149406.7 699 10 0.0 10.0 76 0.00363 148360.9 708 11 0.0 10.0 77 0.00328 147322.3 716 11 0.0 10.0 78 0.00297 146231.1 727 11 −0.0 10.0 79 0.00268 145267.1 736 11 −0.1 10.0 80 0.00241 144250.2 745 11 −0.1 10.0 81 0.00217 143240.4 753 11 −0.1 10.0 82 0.00196 142237.7 762 11 −0.1 10.0 83 0.00176 141242.1 771 11 −0.2 5.0 84 0.00158 140253.4 779 11 −0.2 5.0 85 0.00141 139271.6 787 11 −0.2 5.0 86 0.00126 138296.7 795 11 −0.2 5.0 87 0.00113 137328.6 803 11 −0.2 5.0 88 0.00101 136367.3 812 11 −0.2 5.0 89 0.00090 135412.8 820 11 −0.2 5.0 90 0.00080 134464.9 828 11 −0.2 5.0 91 0.00071 133523.6 836 11 −0.2 5.0 92 0.00063 132589.0 844 11 −0.2 5.0 93 0.00056 131660.8 852 11 −0.2 5.0 94 0.00050 130739.2 860 11 −0.2 5.0 95 0.00044 104591.4 868 7 −0.2 5.0 96 0.00039 83673.1 872 4 −0.2 5.0 97 0.00035 66938.5 874 2 −0.2 5.0 98 0.00031 53550.8 873 −0 −0.2 5.0 99 0.00027 42840.6 871 −2 −0.3 5.0 100 0.00024 34272.5 867 −3 −0.3 5.0 101 0.00021 27418.0 862 −4 −0.3 5.0 102 0.00019 21934.4 856 −5 −0.3 5.0 103 0.00017 17547.5 849 −5 −0.3 5.0 104 0.00015 14038.0 842 −6 −0.3 5.0 105 0.00013 0.0 834 −8 −0.3 5.0 106 0.00012 0.0 824 −8 −0.3 5.0 107 0.00010 0.0 814 −8 −0.3 5.0 108 0.00009 0.0 804 −8 −0.3 5.0 109 0.00008 0.0 795 −8 −0.3 5.0 110 0.00007 0.0 785 −8 −0.3 5.0 111 0.00007 0.0 775 −8 −0.3 5.0 112 0.00006 0.0 765 −8 −0.4 5.0 113 0.00005 0.0 756 −8 −0.4 5.0 114 0.00005 0.0 746 −8 −0.4 5.0 115 0.00004 0.0 736 −8 −0.4 5.0 116 0.00004 0.0 726 −8 −0.4 0.0 117 0.00004 0.0 716 −8 −0.4 0.0 118 0.00003 0.0 707 −8 −0.4 0.0 119 0.00003 0.0 697 −8 −0.4 0.0 120 0.00003 0.0 687 −8 −0.4 0.0 121 0.00002 0.0 677 −7 −0.4 0.0 122 0.00002 0.0 667 −7 −0.4 0.0 123 0.00002 0.0 658 −7 −0.4 0.0 124 0.00002 0.0 648 −7 −0.4 0.0 125 0.00002 0.0 638 −7 −0.4 0.0 126 0.00001 0.0 628 −7 −0.4 0.0 127 0.00001 0.0 619 −7 −0.5 0.0 128 0.00001 0.0 609 −7 −0.5 0.0 129 0.00001 0.0 599 −7 −0.5 0.0 130 0.00001 0.0 589 −7 −0.5 0.0 131 0.00001 0.0 579 −7 −0.5 0.0 132 0.00001 0.0 570 −7 −0.5 0.0 133 0.00001 0.0 560 −7 −0.5 0.0 134 0.00001 0.0 550 −7 −0.5 0.0 135 0.00001 0.0 540 −7 −0.5 0.0 136 0.00001 0.0 531 −7 −0.5 0.0 137 0.00001 0.0 521 −7 −0.5 0.0 138 0.00001 0.0 511 −7 −0.5 0.0 139 0.00001 0.0 501 −6 −0.6 0.0 140 0.00000 0.0 491 −6 −0.6 0.0 141 0.00000 0.0 482 −6 −0.6 0.0 142 0.00000 0.0 472 −6 −0.6 0.0 143 0.00000 0.0 462 −6 −0.6 0.0 144 0.00000 0.0 452 −6 −0.6 0.0 145 0.00000 0.0 443 −6 −0.6 0.0 146 0.00000 0.0 433 −6 −0.6 0.0 147 0.00000 0.0 423 −6 −0.6 0.0 148 0.00000 0.0 413 −6 −0.6 0.0 149 0.00000 0.0 403 −6 −0.7 0.0 150 0.00000 0.0 394 −6 −0.7 0.0 151 0.00000 0.0 384 −5 −0.7 0.0 152 0.00000 0.0 374 −5 −0.7 0.0 153 0.00000 0.0 364 −5 −0.7 0.0 154 0.00000 0.0 355 −5 −0.7 0.0 155 0.00000 0.0 345 −5 −0.7 0.0 156 0.00000 0.0 335 −5 −0.7 0.0 157 0.00000 0.0 325 −5 −0.7 0.0 158 0.00000 0.0 316 −5 −0.8 0.0 159 0.00000 0.0 306 −5 −0.8 0.0 160 0.00000 0.0 296 −5 −0.8 0.0 161 0.00000 0.0 286 −4 −0.8 0.0 162 0.00000 0.0 276 −4 −0.8 0.0 163 0.00000 0.0 267 −4 −0.8 0.0 164 0.00000 0.0 257 −4 −0.8 0.0 165 0.00000 0.0 247 −4 −0.8 0.0 166 0.00000 0.0 237 −4 −0.8 0.0 167 0.00000 0.0 228 −4 −0.8 0.0 168 0.00000 0.0 218 −3 −0.9 0.0 169 0.00000 0.0 208 −3 −0.9 0.0 170 0.00000 0.0 198 −3 −0.9 0.0 171 0.00000 0.0 188 −3 −0.9 0.0 172 0.00000 0.0 179 −3 −0.9 0.0 173 0.00000 0.0 169 −3 −0.9 0.0 174 0.00000 0.0 159 −3 −0.9 0.0 175 0.00000 0.0 149 −2 −0.9 0.0 176 0.00000 0.0 140 −2 −0.9 0.0 177 0.00000 0.0 130 −2 −0.9 0.0 178 0.00000 0.0 120 −2 −0.9 0.0 179 0.00000 0.0 110 −2 −1.0 0.0 180 0.00000 0.0 100 −2 −1.0 0.0 181 0.00000 0.0 91 −2 −1.0 0.0 182 0.00000 0.0 81 −1 −1.0 0.0 183 0.00000 0.0 71 −1 −1.0 0.0 184 0.00000 0.0 61 −1 −1.0 0.0 185 0.00000 0.0 51 −1 −1.0 0.0 186 0.00000 0.0 42 −1 −1.0 0.0 187 0.00000 0.0 32 −1 −1.0 0.0 188 0.00000 0.0 22 −0 −1.0 0.0 189 0.00000 0.0 12 −0 −1.0 0.0 190 0.00000 0.0 3 −0 −1.0 0.0 191 0.00000 0.0 −7 0 −1.0 0.0 192 0.00000 0.0 −17 0 −1.0 0.0 193 0.00000 0.0 −27 0 −1.0 0.0 194 0.00000 0.0 −37 1 −1.0 0.0 195 0.00000 0.0 −47 1 −1.0 0.0 196 0.00000 0.0 −56 1 −1.0 0.0 197 0.00000 0.0 −66 1 −1.0 0.0 198 0.00000 0.0 −76 1 −1.0 0.0 199 0.00000 0.0 −86 1 −1.0 0.0 200 0.00000 0.0 −96 2 −1.0 0.0 201 0.00000 0.0 −105 2 −1.0 0.0 202 0.00000 0.0 −115 2 −1.0 0.0 203 0.00000 0.0 −125 2 −0.9 0.0 204 0.00000 0.0 −135 2 −0.9 0.0 205 0.00000 0.0 −145 2 −0.9 30.0 206 0.00000 0.0 −154 3 −0.9 30.0 207 0.00000 0.0 −164 3 −0.9 30.0 208 0.00000 0.0 −174 3 −0.9 30.0 209 0.00000 0.0 −184 3 −0.9 30.0 210 0.00000 0.0 −194 3 −0.9 30.0 211 0.00000 0.0 −204 3 −0.9 30.0 212 0.00000 0.0 −213 3 −0.9 30.0 213 0.00000 0.0 −223 4 −0.9 30.0 214 0.00000 0.0 −233 4 −0.8 30.0 215 0.00000 0.0 −243 4 −0.8 30.0 216 0.00000 0.0 −253 4 −0.8 30.0 217 0.00000 0.0 −262 4 −0.8 30.0 218 0.00000 0.0 −272 4 −0.8 30.0 219 0.00000 0.0 −282 4 −0.8 30.0 220 0.00000 0.0 −292 4 −0.8 30.0 221 0.00000 0.0 −302 5 −0.8 30.0 222 0.00000 0.0 −312 5 −0.8 30.0 223 0.00000 0.0 −321 5 −0.8 30.0 224 0.00000 0.0 −331 5 −0.7 30.0 225 0.00000 0.0 −341 5 −0.7 30.0 226 0.00000 0.0 −351 5 −0.7 30.0 227 0.00000 0.0 −361 5 −0.7 30.0 228 0.00000 0.0 −371 5 −0.7 30.0 229 0.00000 0.0 −380 5 −0.7 30.0 230 0.00000 0.0 −390 6 −0.7 30.0 231 0.00000 0.0 −400 6 −0.7 30.0 232 0.00000 0.0 −410 6 −0.7 30.0 233 0.00000 0.0 −420 6 −0.6 30.0 234 0.00000 0.0 −429 6 −0.6 30.0 235 0.00000 0.0 −439 6 −0.6 30.0 236 0.00000 0.0 −449 6 −0.6 30.0 237 0.00000 0.0 −459 6 −0.6 30.0 238 0.00000 0.0 −469 6 −0.6 30.0 239 0.00000 0.0 −479 6 −0.6 30.0 240 0.00000 0.0 −488 6 −0.6 30.0 241 0.00000 0.0 −498 6 −0.6 30.0 242 0.00001 0.0 −508 7 −0.5 30.0 243 0.00001 0.0 −518 7 −0.5 30.0 244 0.00001 0.0 −528 7 −0.5 100.0 245 0.00001 0.0 −537 7 −0.5 100.0 246 0.00001 0.0 −547 7 −0.5 100.0 247 0.00001 0.0 −557 7 −0.5 100.0 248 0.00001 0.0 −567 7 −0.5 100.0 249 0.00001 0.0 −577 7 −0.5 100.0 250 0.00001 0.0 −587 7 −0.5 100.0 251 0.00001 0.0 −596 7 −0.5 100.0 252 0.00001 0.0 −606 7 −0.5 100.0 253 0.00001 0.0 −616 7 −0.5 100.0 254 0.00001 0.0 −626 7 −0.4 100.0 255 0.00001 0.0 −636 7 −0.4 100.0 256 0.00002 0.0 −645 7 −0.4 100.0 257 0.00002 0.0 −655 7 −0.4 100.0 258 0.00002 0.0 −665 7 −0.4 100.0 259 0.00002 0.0 −675 7 −0.4 100.0 260 0.00002 0.0 −684 8 −0.4 100.0 261 0.00003 0.0 −694 8 −0.4 100.0 262 0.00003 0.0 −704 8 −0.4 100.0 263 0.00003 125368.5 −714 4 0.8 100.0 264 0.00003 124457.7 −709 4 0.8 100.0 265 0.00004 123553.6 −703 4 0.8 100.0 266 0.00004 122656.1 −698 4 0.8 100.0 267 0.00005 121765.0 −692 4 0.8 100.0 268 0.00005 120880.5 −687 4 0.8 100.0 269 0.00006 120002.4 −681 4 0.8 100.0 270 0.00006 119130.6 −675 4 0.8 100.0 271 0.00007 118265.2 −668 3 0.8 100.0 272 0.00007 117406.1 −662 3 0.8 100.0 273 0.00008 116553.2 −655 3 0.8 100.0 274 0.00009 115706.5 −648 3 0.7 100.0 275 0.00010 114865.9 −641 3 0.7 100.0 276 0.00011 114031.5 −634 3 0.7 100.0 277 0.00012 113203.1 −627 3 0.7 100.0 278 0.00013 112380.8 −619 3 0.7 100.0 279 0.00014 111564.4 −612 3 0.7 100.0 280 0.00015 110753.9 −604 2 0.7 100.0 281 0.00016 109949.4 −596 2 0.7 100.0 282 0.00018 109150.6 −588 2 0.7 100.0 283 0.00019 108357.7 −580 2 0.7 100.0 284 0.00021 107570.6 −571 2 0.7 100.0 285 0.00023 106789.1 −562 2 0.7 100.0 286 0.00025 106013.4 −554 2 0.7 100.0 287 0.00027 105243.2 −545 2 0.7 100.0 288 0.00029 104478.7 −536 1 0.7 100.0 289 0.00031 103719.7 −526 1 0.7 100.0 290 0.00033 102966.3 −517 1 0.7 100.0 291 0.00036 102218.3 −507 1 0.7 100.0 292 0.00039 101475.7 −497 1 0.7 100.0 293 0.00041 100738.5 −487 1 0.7 100.0 294 0.00044 100006.7 −477 0 0.7 100.0 295 0.00047 99280.2 −467 0 0.7 100.0 296 0.00051 0.0 −456 3 −0.4 95.0 297 0.00054 0.0 −464 3 −0.4 90.0 298 0.00058 0.0 −472 3 −0.4 85.0 299 0.00062 0.0 −480 3 −0.4 80.0 300 0.00066 0.0 −487 3 −0.4 75.0 301 0.00071 0.0 −494 3 −0.4 70.0 302 0.00076 0.0 −502 3 −0.3 65.0 303 0.00081 0.0 −509 3 −0.3 60.0 304 0.00087 0.0 −515 3 −0.3 55.0 305 0.00094 0.0 −522 3 −0.3 50.0 306 0.00101 0.0 −528 3 −0.3 45.0 307 0.00109 0.0 −534 3 −0.3 40.0 308 0.00117 0.0 −539 3 −0.3 35.0 309 0.00127 0.0 −544 2 −0.2 30.0 310 0.00137 0.0 −549 2 −0.2 30.0 311 0.00148 0.0 −553 2 −0.2 30.0 312 0.00160 0.0 −557 2 −0.2 30.0 313 0.00173 0.0 −561 1 −0.1 30.0 314 0.00187 0.0 −563 1 −0.1 30.0 315 0.00202 0.0 −566 1 0.1 30.0 316 0.00219 0.0 −567 0 −0.0 30.0 317 0.00237 0.0 −568 −0 −0.0 30.0 318 0.00257 0.0 −568 −1 0.0 30.0 319 0.00278 0.0 −568 −1 0.1 30.0 320 0.00302 0.0 −566 −2 0.1 30.0 321 0.00327 0.0 −564 −2 0.1 30.0 322 0.00354 0.0 −560 −3 0.2 30.0 323 0.00383 0.0 −556 −3 0.2 30.0 324 0.00414 0.0 −550 −4 0.3 30.0 325 0.00447 0.0 −543 −5 0.4 30.0 326 0.00483 0.0 −536 −5 0.4 30.0 327 0.00520 0.0 −527 −6 0.4 29.1 328 0.00561 0.0 −517 −4 0.5 28.2 329 0.00603 0.0 −508 −4 0.5 27.4 330 0.00648 0.0 −499 −5 0.5 26.6 331 0.00695 0.0 −490 −6 0.5 25.8 332 0.00744 0.0 −480 −6 0.5 25.0 333 0.00797 0.0 −470 −7 0.4 24.2 334 0.00851 0.0 −460 −8 0.4 23.5 335 0.00908 0.0 −450 −8 0.4 22.8 336 0.00967 0.0 −440 −5 0.5 22.1 337 0.01029 0.0 −431 −6 0.5 21.5 338 0.01094 0.0 −421 −6 0.5 20.8 339 0.01160 0.0 −411 −7 0.5 20.2 340 0.01230 0.0 −401 −4 0.5 19.6 341 0.01301 0.0 −392 −4 0.5 19.0 342 0.01375 0.0 −382 −5 0.5 18.4 343 0.01451 0.0 −373 −5 0.5 17.9 344 0.01529 0.0 −364 −6 0.5 17.3 345 0.01610 0.0 −354 −6 0.5 16.8 346 0.01692 0.0 −345 −6 0.5 16.3 347 0.01776 0.0 −336 −7 0.4 15.8 348 0.01862 0.0 −327 −4 0.5 15.3 349 0.01950 0.0 −318 −4 0.5 14.9 350 0.02039 0.0 −310 −5 0.5 14.4 351 0.02130 0.0 −300 −5 0.6 14.0 352 0.02222 0.0 −291 −5 0.6 13.6 353 0.02315 0.0 −281 −6 0.6 13.2 354 0.02409 0.0 −271 −6 0.6 12.8 355 0.02502 0.0 −261 −6 0.6 12.4 356 0.02596 0.0 −252 −7 0.5 12.0 357 0.02690 0.0 −242 −7 0.5 11.7 358 0.02783 0.0 −232 −7 0.5 11.3 359 0.02876 0.0 −223 −7 0.5 11.0 360 0.02967 0.0 −214 −8 0.5 10.7 361 0.03058 0.0 −204 −5 0.6 10.3 362 0.03147 0.0 −195 −5 0.6 10.0 363 0.03235 0.0 −185 −5 0.6 9.7 364 0.03320 0.0 −175 −6 0.6 9.4 365 0.03403 0.0 −165 −6 0.6 9.1 366 0.03483 0.0 −155 −6 0.6 8.9 367 0.03560 0.0 −145 −6 0.6 8.6 368 0.03633 0.0 −136 −6 0.6 8.3 369 0.03703 0.0 −126 −6 0.6 8.1 370 0.03770 0.0 −116 −6 0.7 7.9 371 0.03832 0.0 −107 −7 0.7 8.0 372 0.03890 0.0 −97 −7 0.7 8.2 373 0.03944 0.0 −88 −7 0.7 8.3 374 0.03993 0.0 −79 −7 0.7 8.5 375 0.04037 0.0 −70 −7 0.6 8.7 376 0.04077 0.0 −61 −7 0.6 8.8 377 0.04112 0.0 −52 −7 0.7 9.0 378 0.04143 0.0 −43 −7 0.7 9.2 379 0.04168 0.0 −35 −7 0.7 9.4

TABLE 3A t h (m) v q norm g axial g total g g vector s m m/s Pa m/s/s m/s/s m/s/s rel Cruiser 0 15000 236 4125 1.12 −0.12 1.12 −93.93 1 15041 233 4002 1.08 −0.12 1.09 −93.93 2 15083 230 3881 1.05 −0.11 1.06 −93.93 3 15125 227 3761 1.02 −0.11 1.02 −93.93 4 15167 224 3645 0.99 −0.11 0.99 −93.93 5 15209 222 3531 1.47 0.98 1.77 −133.74 6 15251 229 3762 1.56 0.98 1.85 −132.18 7 15299 237 3988 1.65 0.98 1.92 −130.75 8 15354 244 4206 1.74 0.98 2.00 −129.47 9 15418 251 4414 1.62 0.98 1.89 −131.29 10 15491 258 4608 1.69 0.98 1.95 −130.22 11 15572 265 4789 1.75 0.98 2.01 −129.27 12 15663 271 4956 1.58 0.98 1.86 −131.86 13 15763 277 5105 1.63 0.98 1.90 −131.09 14 15872 283 5240 1.68 0.98 1.94 −130.41 15 15989 288 5360 1.72 0.98 1.98 −129.81 16 16115 294 5462 1.75 0.98 2.01 −129.30 17 16251 299 5545 1.78 0.98 2.04 −128.87 18 16398 304 5610 1.81 0.98 2.06 −128.52 19 16554 308 5655 1.83 0.98 2.08 −128.26 20 16720 313 5680 1.84 0.98 2.09 −128.07 21 16898 317 5686 1.85 0.98 2.10 −127.95 22 17085 321 5672 1.86 0.98 2.10 −127.91 23 17284 324 5639 1.85 0.98 2.10 −127.95 24 17492 327 5588 1.84 0.98 2.09 −128.05 25 17711 330 5521 1.83 0.98 2.08 −128.22 26 17940 333 5438 l.81 0.98 2.06 −128.45 27 18179 336 5341 1.79 0.98 2.04 −128.75 28 18427 338 5231 1.76 0.98 2.02 −129.12 29 18685 341 5111 1.73 0.98 l.99 −129.54 30 18950 342 4980 1.50 1.28 1.98 −140.55 31 19225 347 4925 1.50 1.31 1.99 −141.11 32 19508 352 4865 1.49 1.33 2.00 −141.71 33 19800 357 4800 0.76 1.84 1.99 −165.47 34 20102 367 4854 0.71 1.88 2.01 −165.37 35 20413 377 4906 0.65 1.92 2.02 −165.29 36 20733 387 4953 0.59 1.95 2.04 −165.24 37 21063 398 4996 0.60 1.99 2.08 −165.26 38 21403 409 5033 0.61 1.98 2.08 −165.02 39 21752 420 5054 0.69 1.98 2.09 −164.88 40 22111 431 5059 0.62 1.98 2.07 −164.67 41 22481 442 5050 0.62 1.97 2.07 −164.56 42 22861 453 5026 0.62 1.97 2.07 −164.49 43 23250 464 4989 0.62 1.97 2.06 −164.46 44 23650 475 4939 0.62 1.96 2.06 −164.48 45 24059 486 4877 0.62 1.96 2.06 −164.54 46 24478 496 4803 0.61 1.96 2.05 −164.63 47 24907 507 4719 0.34 1.96 1.99 −172.18 48 25346 518 4626 0.34 1.96 1.99 −172.26 49 25793 529 4526 0.33 1.96 1.99 −172.37 50 26249 539 4419 0.33 1.96 1.98 −172.48 51 26713 550 4306 0.32 1.96 1.98 −172.62 52 27186 561 4188 0.32 1.96 1.99 −172.77 53 27666 572 4066 0.55 1.96 2.03 −166.18 54 28155 583 3940 0.54 1.96 2.03 −166.50 55 28654 593 3810 0.64 1.95 2.05 −166.90 56 29162 604 3677 0.63 1.95 2.05 −167.25 57 29679 615 3541 0.61 1.96 2.05 −167.62 58 30207 626 3404 0.60 1.96 2.05 −168.01 59 30744 636 3265 0.58 1.96 2.04 −168.40 60 31290 647 3127 0.57 1.96 2.04 −168.79 61 31847 658 2988 0.55 1.96 2.04 −169.19 62 32413 669 2850 0.54 1.96 2.03 −169.60 63 32988 679 2713 0.52 1.96 2.03 −170.01 64 33573 690 2579 0.51 1.96 2.02 −170.42 65 34167 701 2446 0.67 1.94 2.05 −170.89 66 34771 711 2315 0.66 1.94 2.04 −171.30 67 35384 722 2186 0.64 1.93 2.04 −171.70 68 36007 732 2061 0.62 1.93 2.03 −172.10 69 36640 743 1940 0.61 1.93 2.03 −172.50 70 37283 753 1822 0.60 1.93 2.02 −172.89 71 37935 764 1709 0.58 1.93 2.02 −173.27 72 38597 774 1600 0.57 1.93 2.01 −173.64 73 39268 785 1495 0.55 1.93 2.01 −174.00 74 39949 795 1395 0.54 1.93 2.01 −174.35 75 40639 806 1299 0.53 1.94 2.01 −174.70 76 41338 816 1208 0.52 1.94 2.01 −175.04 77 42046 827 1122 0.51 1.94 2.01 −175.36 78 42764 837 1040 0.42 1.95 1.99 −177.75 79 43491 848 963 0.42 1.95 1.99 −177.90 80 44227 858 890 0.41 1.95 2.00 −178.05 81 44971 869 821 0.41 1.95 2.00 −178.19 82 45725 880 757 0.40 1.96 2.00 −178.32 83 46487 890 696 0.23 1.98 1.99 −178.47 84 47258 901 640 0.22 1.98 2.00 −178.59 85 48037 912 588 0.22 1.99 2.00 −178.69 86 48824 923 539 0.26 1.99 2.00 −177.63 87 49619 934 493 0.25 1.99 2.00 −177.82 88 50422 945 451 0.24 1.99 2.01 −177.99 89 51234 956 412 0.24 1.99 2.01 −178.16 90 52054 968 375 0.23 1.99 2.01 −178.31 91 52881 979 342 0.23 2.00 2.01 −178.45 92 53717 990 311 0.22 2.00 2.01 −175.58 93 54561 1001 282 0.22 2.00 2.01 −178.70 94 55413 1012 256 0.20 2.00 2.01 −179.40 95 56273 1024 232 0.16 1.61 1.62 −179.32 96 57141 1031 208 0.13 1.30 1.30 −179.23 97 58014 1036 186 0.11 1.04 1.05 −179.14 98 58888 1038 165 0.09 0.84 0.84 −179.15 99 59761 1038 146 0.07 0.67 0.67 −178.05 100 60632 1036 129 0.06 0.54 0.54 −178.84 101 61499 1033 113 0.05 0.43 0.43 −178.72 102 62360 1029 99 0.04 0.34 0.35 −178.60 103 63216 1024 87 0.03 0.28 0.28 −178.46 104 64065 1019 77 0.03 0.22 0.22 −178.31 105 64907 1013 67 0.01 −0.00 0.01 −72.85 106 65741 1005 59 0.00 −0.00 0.01 −72.85 107 66565 997 52 0.00 −0.00 0.00 −72.85 108 67379 989 45 0.00 −0.00 0.00 −72.85 109 68183 981 40 0.00 −0.00 0.00 −72.85 110 68978 973 35 0.00 −0.00 0.00 −72.85 111 69763 965 31 0.00 −0.00 0.00 −72.85 112 70538 957 27 0.00 −0.00 0.00 72.85 113 71303 949 24 0.00 −0.00 0.00 −72.85 114 72059 941 21 0.00 −0.00 0.00 −72.85 115 72805 933 19 0.00 −0.00 0.00 −72.85 116 73541 926 17 0.00 −0.00 0.00 0.00 117 74267 918 15 0.00 −0.00 0.00 0.00 118 74983 910 13 0.00 −0.00 0.00 0.00 119 75690 903 12 0.00 −0.00 0.00 0.00 120 76387 895 10 0.00 −0.00 0.00 0.00 121 77074 888 9 0.00 −0.00 0.00 0.00 122 77751 880 8 0.00 −0.00 0.00 0.00 123 78419 873 7 0.00 −0.00 0.00 0.00 124 79076 865 7 0.00 −0.00 0.00 0.00 125 79724 858 6 0.00 −0.00 0.00 0.00 126 80362 851 5 0.00 −0.00 0.00 0.00 127 80991 843 5 0.00 −0.00 0.00 0.00 128 81609 836 4 0.00 −0.00 0.00 0.00 129 82218 829 4 0.00 −0.00 0.00 0.00 130 82817 822 4 0.00 −0.00 0.00 0.00 131 83406 815 3 0.00 −0.00 0.00 0.00 132 83986 808 3 0.00 −0.00 0.00 0.00 133 84555 801 3 0.00 −0.00 0.00 0.00 134 85115 794 2 0.00 −0.00 0.00 0.00 135 85665 788 2 0.00 −0.00 0.00 0.00 136 86206 781 2 0.00 −0.00 0.00 0.00 137 86736 774 2 0.00 −0.00 0.00 0.00 138 87257 768 2 0.00 −0.00 0.00 0.00 139 87768 761 2 0.00 −0.00 0.00 0.00 140 88269 755 1 0.00 −0.00 0.00 0.00 141 88761 748 1 0.00 −0.00 0.00 0.00 142 89242 742 1 0.00 −0.00 0.00 0.00 143 89714 736 1 0.00 −0.00 0.00 0.00 144 90176 730 1 0.00 −0.00 0.00 0.00 145 90629 723 1 0.00 −0.00 0.00 0.00 146 91071 717 1 0.00 −0.00 0.00 0.00 147 91504 712 1 0.00 −0.00 0.00 0.00 149 91927 706 1 0.00 −0.00 0.00 0.00 149 92340 700 1 0.00 −0.00 0.00 0.00 150 92744 694 1 0.00 −0.00 0.00 0.00 151 93137 689 1 0.00 −0.00 0.00 0.00 152 93521 683 1 0.00 −0.00 0.00 0.00 153 93895 678 1 0.00 −0.00 0.00 0.00 154 94260 673 0 0.00 −0.00 0.00 0.00 155 94614 667 0 0.00 −0.00 0.00 0.00 156 94959 662 0 0.00 −0.00 0.00 0.00 157 95294 657 0 0.00 −0.00 0.00 0.00 158 95619 653 0 0.00 −0.00 0.00 0.00 159 95935 648 0 0.00 −0.00 0.00 0.00 160 96241 643 0 0.00 −0.00 0.00 0.00 161 96537 639 0 0.00 0.00 0.00 0.00 162 96823 634 0 0.00 −0.00 0.00 0.00 163 97099 630 0 0.00 −0.00 0.00 0.00 164 97366 626 0 0.00 −0.00 0.00 0.00 165 97623 622 0 0.00 −0.00 0.00 0.00 166 97870 618 0 0.00 −0.00 0.00 0.00 167 98107 614 0 0.00 −0.00 0.00 0.00 168 98335 611 0 0.00 −0.00 0.00 0.00 169 98552 607 0 0.00 −0.00 0.00 0.00 170 98760 604 0 0.00 −0.00 0.00 0.00 171 98959 601 0 0.00 −0.00 0.00 0.00 172 99147 597 0 0.00 −0.00 0.00 0.00 173 99326 595 0 0.00 −0.00 0.00 0.00 174 99495 592 0 0.00 −0.00 0.00 0.00 175 99654 589 0 0.00 −0.00 0.00 0.00 176 99803 587 0 0.00 −0.00 0.00 0.00 177 99943 584 0 0.00 −0.00 0.00 0.00 178 100072 582 0 0.00 −0.00 0.00 0.00 179 100192 580 0 0.00 −0.00 0.00 0.00 180 100303 578 0 0.00 −0.00 0.00 0.00 181 100403 577 0 0.00 −0.00 0.00 0.00 182 100494 575 0 0.00 −0.00 Q.00 0.00 183 100575 574 0 0.00 −0.00 0.00 0.00 184 100646 572 0 0.00 −0.00 0.00 0.00 185 100707 571 0 0.00 −0.00 0.00 0.00 186 100758 570 0 0.00 −0.00 0.00 0.00 187 100800 570 0 0.00 −0.00 0.00 0.00 188 100832 569 0 0.00 −0.00 0.00 0.00 189 100854 569 0 0.00 −0.00 0.00 0.00 190 100866 569 0 0.00 −0.00 0.00 0.00 191 100869 569 0 0.00 −0.00 0.00 0.00 192 100862 569 0 0.00 −0.00 0.00 0.00 193 100844 569 0 0.00 −0.00 0.00 0.00 194 100818 569 0 0.00 −0.00 0.00 0.00 195 100781 570 0 0.00 −0.00 0.00 0.00 196 100734 571 0 0.00 −0.00 0.00 0.00 197 100678 572 0 0.00 −0.00 0.00 0.00 198 100612 573 0 0.00 −0.00 0.00 0.00 199 100536 574 0 0.00 −0.00 0.00 0.00 200 100450 576 0 0.00 −0.00 0.00 0.00 201 100355 577 0 0.00 −0.00 0.00 0.00 202 100249 579 0 0.00 −0.00 0.00 0.00 203 100134 581 0 0.00 −0.00 0.00 0.00 204 100009 583 0 0.00 −0.00 0.00 0.00 205 99874 586 0 0.00 −0.00 0.00 −85.89 206 99730 588 0 0.00 −0.00 0.00 −85.89 207 99575 590 0 0.00 −0.00 0.00 −85.89 208 99411 593 0 0.00 −0.00 0.00 −85.89 209 99237 596 0 0.00 −0.00 0.00 −85.89 210 99053 599 0 0.00 −0.00 0.00 −85.89 211 98859 602 0 0.00 −0.00 0.00 −85.89 212 98656 606 0 0.00 −0.00 0.00 −85.89 213 98442 609 0 0.00 −0.00 0.00 −85.89 214 98219 613 0 0.00 −0.00 0.00 −85.89 215 97986 616 0 0.00 −0.00 0.00 −85.89 216 97743 620 0 0.00 −0.00 0.00 −85.89 217 97491 624 0 0.00 −0.00 0.00 −85.89 218 97228 628 0 0.00 −0.00 0.00 −85.89 219 96956 633 0 0.00 −0.00 0.00 −85.89 220 96674 637 0 0.00 −0.00 0.00 −85.89 221 96382 641 0 0.00 −0.00 0.00 −85.89 222 96080 646 0 0.00 −0.00 0.00 −85.89 223 95768 651 0 0.00 −0.00 0.00 −85.89 224 95447 656 0 0.00 −0.00 0.00 −85.89 225 95116 661 0 0.00 −0.00 0.00 −85.89 226 94775 666 0 0.00 −0.00 0.00 −85.89 227 94424 671 0 0.00 −0.00 0.00 −85.89 228 94063 676 0 0.00 −0.00 0.00 −85.89 229 93692 681 1 0.00 −0.00 0.00 −85.89 230 93312 687 1 0.00 −0.00 0.00 −85.89 231 92922 692 1 0.00 −0.00 0.00 −85.89 232 92522 698 1 0.00 −0.00 0.00 −85.89 233 92112 704 1 0.00 −0.00 0.00 −85.89 234 91692 710 1 0.00 −0.00 0.00 −85.89 235 91263 716 1 0.00 −0.00 0.00 −85.89 236 90824 722 1 0.00 −0.00 0.00 −85.89 237 90374 728 1 0.00 −0.00 0.00 −85.89 238 89915 734 1 0.00 −0.00 0.00 −85.89 239 89447 740 1 0.00 −0.00 0.00 −85.89 240 88968 747 1 0.00 −0.00 0.00 −85.89 241 88480 753 1 0.00 −0.00 0.00 −85.89 242 87981 759 1 0.00 −0.00 0.00 −85.89 243 87473 766 2 0.00 −0.00 0.00 −85.89 244 86956 773 2 0.00 −0.00 0.00 −85.89 245 86428 779 2 0.00 −0.00 0.00 −85.89 246 85890 786 2 0.00 −0.00 0.00 −85.89 247 85343 793 2 0.00 −0.00 0.00 −85.89 248 84786 800 3 0.00 −0.00 0.00 −85.89 249 84219 807 3 0.00 −0.00 0.00 −85.89 250 83642 814 3 0.00 −0.00 0.00 −85.89 251 83056 821 3 0.00 −0.00 0.00 −85.89 252 82460 828 4 0.00 −0.00 0.00 −85.89 253 81853 835 4 0.00 −0.00 0.00 −85.89 254 81237 842 5 0.00 −0.00 0.00 −85.89 255 80612 849 5 0.00 −0.00 0.00 −85.89 256 79976 857 6 0.00 −0.00 0.00 −85.89 257 79331 864 6 0.00 −0.00 0.00 −85.89 258 78676 872 7 0.00 −0.00 0.00 −85.89 259 78011 879 8 0.00 −0.00 0.00 −85.89 260 77336 886 9 0.00 −0.00 0.01 −85.89 261 76652 894 10 0.00 −0.00 0.01 −85.89 262 75958 902 11 0.01 −0.00 0.01 −85.89 263 75254 909 13 0.01 −0.00 0.01 −85.89 264 74540 917 14 0.01 −0.00 0.01 −85.89 265 73817 925 16 0.01 −0.01 0.01 −85.89 266 73084 932 18 0.01 −0.01 0.01 −85.89 267 72341 940 20 0.01 −0.01 0.01 −85.89 268 71588 948 23 0.01 −0.01 0.01 −85.89 269 70826 956 26 0.01 −0.01 0.02 −85.89 270 70054 963 29 0.01 −0.01 0.02 −85.89 271 69272 971 33 0.02 −0.01 0.02 −85.89 272 68481 979 38 0.02 −0.01 0.02 −85.89 273 67680 987 43 0.02 −0.01 0.03 −85.89 274 66869 995 49 0.02 −0.02 0.03 −85.89 275 66049 1003 56 0.03 −0.02 0.03 −85.89 276 65219 1011 64 0.03 −0.02 0.04 −85.89 277 64380 1019 73 0.04 −0.02 0.04 −85.89 278 63532 1027 84 0.04 −0.03 0.05 −85.89 279 62674 1035 96 0.05 −0.03 0.06 −85.89 280 61806 1042 110 0.05 −0.04 0.07 −85.89 281 60930 1050 127 0.06 −0.04 0.08 −85.89 282 60044 1058 146 0.07 −0.05 0.09 −85.89 283 59149 1066 168 0.08 −0.06 0.10 −85.89 284 58245 1074 193 0.10 −0.07 0.12 −85.89 285 57332 1081 223 0.11 −0.08 0.13 −85.89 286 56410 1089 257 0.13 −0.09 0.15 −85.89 287 55480 1097 298 0.15 −0.10 0.18 −85.89 288 54541 1104 344 0.17 −0.12 0.21 −85.89 289 53594 1111 399 0.20 −0.13 0.24 −85.89 290 52639 1118 462 0.23 −0.16 0.28 −85.89 291 51676 1125 535 0.27 −0.18 0.32 −85.89 292 50706 1132 621 0.31 −0.21 0.37 −85.89 293 49729 1138 721 0.36 −0.24 0.43 −85.89 294 48746 1144 837 0.42 −0.28 0.50 −85.89 295 47757 1150 971 0.48 −0.33 0.58 −85.89 296 46762 1155 1128 0.56 −0.38 0.68 −85.89 297 45763 1160 1309 0.65 −0.44 0.79 −85.89 298 44759 1164 1518 0.76 −0.51 0.91 −85.89 299 43753 1168 1760 0.88 −0.59 1.06 −85.89 300 42746 1170 2037 1.01 −0.69 1.23 −85.89 301 41737 1172 2355 1.17 −0.79 1.42 −85.89 302 40730 1173 2717 1.35 −0.92 1.63 −85.89 303 39726 1172 3127 1.56 −1.05 1.88 −85.89 304 38726 1170 3587 1.79 −1.21 2.16 −85.89 305 37734 1167 4101 2.04 −1.38 2.47 −85.89 306 36751 1161 4667 2.32 −1.57 2.81 −85.89 307 35780 1154 5284 2.63 −1.78 3.18 −85.89 308 34825 1145 5947 2.96 −2.01 3.58 −85.89 309 33890 1133 6647 3.31 −2.24 4.00 −85.89 310 32977 1119 7372 3.61 −1.79 4.03 −87.57 311 32091 1109 8205 3.47 −2.00 4.01 −79.31 312 31232 1097 9062 3.76 −1.55 4.07 −83.01 313 30399 1089 10047 3.67 −1.71 4.05 −77.24 314 29593 1080 11060 3.58 −1.89 4.05 −72.03 315 28813 1068 12084 3.41 −2.06 3.99 −68.37 316 28061 1055 13101 3.70 −1.53 4.00 −76.81 317 27337 1047 14281 3.68 −1.66 4.03 −74.61 318 26640 1037 15461 3.59 −1.80 4.02 −72.07 319 25971 1026 16618 3.59 −1.94 4.08 −70.07 320 25331 1013 17733 3.53 −2.07 4.09 −67.86 321 24720 999 18783 3.74 −1.49 4.03 −76.29 322 24139 990 20024 3.66 −1.58 3.99 −74.28 323 23587 980 21207 3.70 −1.68 4.06 −73.06 324 23063 968 22312 3.61 −1.77 4.02 −71.20 325 22569 956 23316 3.58 −1.84 4.03 −69.78 326 22104 943 24206 3.62 −1.92 4.09 −68.92 327 21669 929 24965 3.52 −1.98 4.04 −66.86 328 21263 914 25580 3.50 −2.02 4.05 −65.99 329 20888 898 26046 3.46 −2.06 4.03 −65.22 330 20541 881 26357 3.39 −2.09 3.98 −64.42 331 20224 864 26515 3.30 −2.10 3.91 −63.57 332 19935 847 26524 3.41 −2.10 4.01 −64.42 333 19673 830 26393 3.51 −2.09 4.08 −65.22 334 19439 812 26126 3.47 −2.07 4.04 −65.22 335 19233 794 25728 3.42 −2.04 3.98 −65.22 336 19056 776 25213 3.28 −1.99 3.84 −64.71 337 18905 759 24597 3.14 −1.95 3.69 −64.19 338 18779 741 23898 2.99 −1.89 3.54 −63.67 339 18677 724 23135 2.83 −1.83 3.37 −63.15 340 18596 707 22325 2.68 −2.60 3.74 −51.85 341 18534 683 20977 2.47 −2.44 3.47 −51.27 342 18490 659 19688 2.20 −2.29 3.18 −49.80 343 18462 637 18466 1.96 −2.15 2.91 −48.34 344 18446 616 17316 1.75 −2.02 2.67 −46.88 345 18440 597 16242 1.56 −1.89 2.45 −45.43

TABLE 3B t Gamma m Range Lift Drag s deg kg km N N  0 10.0 11750  0 128695  13685   1 10.3 11750  0 124865  13277   2 10.6 11750  0 121080  12875   3 10.7 11750  1 117358  12479   4 10.8 11750  1 113718  12092   5 10.8 11750  1 146900  15094   6 12.1 11702  1 156500  16080   7 13.5 11653  2 165899  17046   8 15.1 11605  2 174977  17979   9 16.9 11556  2 160657  16594  10 18.4 11508  2 167715  17323  11 20.0 11459  3 174319  18005  12 21.7 11411  3 154614  16441  13 23.1 11364  3 159285  16937  14 24.5 11316  3 163503  17386  15 26.0 11269  4 167224  17781  16 27.6 11221  4 170405  18120  17 29.3 11174  4 173016  18397  18 31.0 11126  4 175031  18612  19 32.7 11079  5 176435  18761  20 34.5 11032  5 177221  18844  21 36.4 10985  5 177391  18863  22 38.2 10938  5 176957  18816  23 40.1 10891  6 175938  18708  24 42.0 10845  6 174361  18540  25 43.9 10798  6 172260  18317  26 45.7 10752  6 169673  18042  27 47.6 10707  7 166645  17720  28 49.5 10661  7 163221  17356  29 51.3 10616  7 159450  16955  30 53.2 10571  7 129484  14632  31 54.7 10516  7 128055  14470  32 56.1 10450  8 126486  14293  33 57.6 10403  8 49915  10632  34 58.0 10329  8 50486  10753  35 58.3 10254  8 51020  10867  36 58.4 10178  8 51512  10972  37 58.5 10102  9 51955  11066  38 58.7 10025  9 52338  11148  39 58.8  9949  9 52559  11195  40 59.0  9873  9 52613  11206  41 59.1  9798  9 52517  11186  42 59.3  9723 10 52272  11134  43 59.4  9650 10 51886  11052  44 59.5  9577 10 51366  10941  45 59.7  9504 10 50718  10803  46 59.8  9433 11 49953  10640  47 59.9  9362 11 24539  9988 48 59.7  9291 11 24057  9791 49 59.6  9221 11 23535  9579 50 59.4  9152 12 22979  9352 51 59.2  9084 12 22391  9113 52 59.0  9016 12 21778  8864 53 58.8  8948 13 42288  9007 54 58.8  8881 13 40977  8728 55 58.9  8815 13 39628  8441 56 59.0  8749 13 38241  8145 57 59.1  8684 14 36829  7845 58 59.2  8619 14 35399  7540 59 59.2  8555 14 33960  7233 60 59.3  8491 15 32517  6926 61 59.4  8428 15 31075  6619 62 59.4  8365 15 29641  6313 63 59.4  8303 16 28220  6011 64 59.4  8242 16 26818  5712 65 59.4  8181 16 25440  5419 66 59.6  8120 17 24074  5128 67 59.7  8061 17 22739  4843 68 59.8  8001 17 21439  4566 69 59.9  7943 18 20176  4297 70 60.0  7884 18 18954  4037 71 60.0  7827 19 17774  3786 72 60.1  7769 19 16639  3544 73 60.1  7713 19 15549  3312 74 60.2  7657 20 14506  3090 75 60.2  7601 20 13511  2878 76 60.2  7545 21 12564  2676 77 60.2  7491 21 11666  2485 78 60.3  7436 21 5407 2201 79 60.2  7382 22 5005 2037 80 60.2  7328 22 4626 1883 81 60.1  7275 23 4269 1738 82 60.0  7221 23 3934 1601 83 60.0  7169 24 3620 1473 84 59.8  7116 24 3328 1354 85 59.6  7065 24 3055 1243 86 59.5  7013 25 5602 1193 87 59.3  6962 25 5129 1092 88 59.1  6911 26 4689  999 89 59.0  6860 26 4282  912 90 58.8  6810 27 3904  832 91 58.7  6760 27 3555  757 92 58.5  6711 28 3233  689 93 58.3  6662 28 2936  625 94 58.2  6613 29 1331  542 95 58.0  6565 29 1206  491 96 57.8  6526 30 1083  441 97 57.5  6495 30  966  393 98 57.3  6470 31  857  349 99 57.1  6450 32  758  308 100  56.8  6434 32  668  272 101  56.6  6422 33  588  239 102  56.3  6412 33  517  210 103  56.0  6403 34  454  185 104  55.7  6397 34  399  162 105  55.4  6392 35  350  142 106  55.1  6392 36  306  125 107  54.8  6392 36  268  109 108  54.5  6392 37  235  96 109  54.1  6392 37  207  84 110  53.8  6392 38  182  74 111  53.5  6392 38  160  65 112  53.1  6392 39  141  58 113  52.8  6392 40  125  51 114  52.4  6392 40  110  45 115  52.0  6392 41  98  40 116  51.7  6392 41   0  52 117  51.3  6392 42   0  46 118  50.9  6392 42   0  41 119  50.5  6392 43   0  37 120  50.1  6392 44   0  33 121  49.7  6392 44   0  29 122  49.3  6392 45   0  26 123  48.9  6392 45   0  23 124  48.5  6392 46   0  21 125  48.0  6392 47   0  19 126  47.6  6392 47   0  17 127  47.2  6392 48   0  15 128  46.7  6392 48   0  14 129  46.3  6392 49   0  12 130  45.8  6392 49   0  11 131  45.3  6392 50   0  10 132  44.8  6392 51   0   9 133  44.3  6392 51   0   8 134  43.8  6392 52   0   7 135  43.3  6392 52   0   7 136  42.8  6392 53   0   6 137  42.3  6392 53   0   6 138  41.7  6392 54   0   5 139  41.2  6392 55   0   5 140  40.6  6392 55   0   4 141  40.1  6392 56   0   4 142  39.5  6392 56   0   4 143  38.9  6392 57   0   3 144  38.3  6392 57   0   3 145  37.7  6392 58   0   3 146  37.1  6392 59   0   3 147  36.5  6392 59   0   2 148  35.8  6392 60   0   2 149  35.2  6392 60   0   2 150  34.5  6392 61   0   2 151  33.9  6392 61   0   2 152  33.2  6392 62   0   2 153  32.5  6392 63   0   2 154  31.8  6392 63   0   1 155  31.1  6392 64   0   1 156  30.4  6392 64   0   1 157  29.7  6392 65   0   1 158  28.9  6392 65   0   1 159  28.2  6392 66   0   1 160  27.4  6392 67   0   1 161  26.6  6392 67   0   1 162  25.8  6392 68   0   1 163  25.0  6392 68   0   1 164  24.2  6392 69   0   1 165  23.4  6392 69   0   1 166  22.6  6392 70   0   1 167  21.7  6392 71   0   1 168  20.9  6392 71   0   1 169  20.0  6392 72   0   1 170  19.2  6392 72   0   1 171  18.3  6392 73   0   1 172  17.4  6392 73   0   1 173  16.5  6392 74   0   1 174  15.6  6392 75   0   1 175  14.7  6392 75   0   1 176  13.8  6392 76   0   1 177  12.8  6392 76   0   1 178  11.9  6392 77   0   0 179  11.0  6392 77   0   0 180  10.0  6392 78   0   0 181  9.0  6392 79   0   0 182  8.1  6392 79   0   0 183  7.1  6392 80   0   0 184  6.1  6392 80   0   0 185  5.2  6392 81   0   0 186  4.2  6392 81   0   0 187  3.2  6392 82   0   0 188  2.2  6392 82   0   0 189  1.2  6392 83   0   0 190  0.3  6392 84   0   0 191  −0.7  6392 84   0   0 192  −1.7  6392 85   0   0 193  −2.7  6392 85   0   0 194  −3.7  6392 86   0   0 195  −4.7  6392 86   0   0 196  −5.7  6392 87   0   0 197  −6.6  6392 88   0   0 198  −7.6  6392 88   0   0 199  −8.6  6392 89   0   0 200  −9.6  6392 89   0   0 201  −10.5  6392 90   0   0 202  −11.5  6392 90   0   0 203  −12.4  6392 91   0   0 204  −13.4  6392 92   0   0 205  −14.3  6392 92   5   3 206  −15.2  6392 93   5   4 207  −16.2  6392 93   5   4 208  −17.1  6392 94   6   4 209  −18.0  6392 94   6   4 210  −18.9  6392 95   6   4 211  −19.8  6392 96   6   4 212  −20.6  6392 96   6   4 213  −21.5  6392 97   7   5 214  −22.4  6392 97   7   5 215  −23.2  6392 98   7   5 216  −24.0  6392 98   8   5 217  −24.9  6392 99   8   5 218  −25.7  6392 100    9   6 219  −26.5  6392 100    9   6 220  −27.3  6392 101    9   6 221  −28.1  6392 101   10   7 222  −28.8  6392 102   11   7 223  −29.6  6392 102   11   8 224  −30.3  6392 103   12   8 225  −31.1  6392 103   13   9 226  −31.8  6392 104   14   9 227  −32.5  6392 105   14  10 228  −33.2  6392 105   15  10 229  −33.9  6392 106   16  11 230  −34.6  6392 106   18  12 231  −35.3  6392 107   19  13 232  −35.9  6392 107   20  14 233  −36.6  6392 108   22  15 234  −37.2  6392 109   24  16 235  −37.9  6392 109   26  17 236  −38.5  6392 110   28  19 237  −39.1  6392 110   30  20 238  −39.7  6392 111   33  22 239  −40.3  6392 111   35  24 240  −40.9  6392 112   38  26 241  −41.4  6392 113   42  28 242  −42.0  6392 113   46  31 243  −42.5  6392 114   50  34 244  −43.1  6392 114   55  37 245  −43.6  6392 115   60  41 246  −44.1  6392 115   66  45 247  −44.6  6392 116   72  49 248  −45.1  6392 116   80  54 249  −45.6  6392 117   88  59 250  −46.1  6392 118   97  68 251  −46.6  6392 118   107  72 252  −47.1  6392 119   118  80 253  −47.5  6392 119   131  89 254  −48.0  6392 120   146  99 255  −48.4  6392 120   162  110 256  −48.9  6392 121   180  122 257  −49.3  6392 122   200  136 258  −49.7  6392 122   224  151 259  −50.1  6392 123   250  169 260  −50.5  6392 123   279  189 261  −50.9  6392 124   313  212 262  −51.3  6392 124   351  238 263  −51.7  6392 125   394  267 264  −52.1  6392 125   443  300 265  −52.5  6392 126   499  338 266  −52.8  6392 127   562  381 267  −53.2  6392 127   635  430 268  −53.5  6392 128   717  486 269  −53.9  6392 128   812  550 270  −54.2  6392 129   920  623 271  −54.6  6392 129  1044  707 272  −54.9  6392 130  1186  803 273  −55.2  6392 131  1349  914 274  −55.5  6392 131  1537 1041 275  −55.8  6392 132  1752 1187 276  −56.1  6392 132  2001 1355 277  −56.4  6392 133  2287 1549 278  −56.7  6392 133  2618 1773 279  −57.0  6392 134  3000 2032 280  −57.2  6392 135  3442 2331 281  −57.5  6392 135  3953 2678 282  −57.8  6392 136  4546 3079 283  −58.0  6392 136  5233 3544 284  −58.2  6392 137  6030 4085 285  −58.5  6392 137  6956 4712 286  −58.7  6392 138  8033 5441 287  −58.9  6392 138  9284 6288 288  −59.1  6392 139  10740  7275 289  −59.2  6392 140  12435  8422 290  −59.4  6392 140  14407  9759 291  −59.5  6392 141  16704  11314  292  −59.7  6392 141  19377  13125  293  −59.8  6392 142  22487  15231  294  −59.8  6392 142  26105  17682  295  −59.9  6392 143  30308  20529  296  −59.9  6392 144  35186  23833  297  −59.9  6392 144  40838  27661  298  −59.8  6392 145  47373  32087  299  −59.7  6392 145  54908  37191  300  −59.5  6392 146  63568  43057  301  −59.2  6392 147  73481  49771  302  −58.9  6392 147  84772  52419  303  −58.5  6392 148  97554  66077  304  −58.0  6392 148  111923  75809  305  −57.4  6392 149  127937  86656  306  −56.7  6392 150  145603  98622  307  −55.8  6392 150  164856  111662  308  −54.8  6392 151  185541  125673  309  −53.7  6392 152  207391  140473  310  −52.3  6392 152  226179  112399  311  −50.8  6392 153  217605  125102  312  −49.4  6392 154  235623  96888  313  −47.8  6392 154  229877  107415  314  −46.2  6392 155  224289  118241  315  −44.7  6392 156  213642  129190  316  −43.3  6392 157  231626  95648  317  −41.7  6392 157  230213  104264  318  −40.2  6392 158  225107  112875  319  −38.6  6392 159  224681  121328  320  −37.1  6392 160  221314  129469  321  −35.6  6392 161  234414  93082  322  −33.9  6392 161  229080  99233  323  −32.3  6392 162  231580  105093  324  −30.7  6392 163  226239  110567  325  −29.1  6392 164  224304  115547  326  −27.5  6392 165  226567  119955  327  −25.9  6392 165  220691  123717  328  −24.3  6392 166  219478  126765  329  −22.7  6392 167  216699  129071  330  −21.1  6392 168  212437  130615  331  −19.5  6392 169  206815  131397  332  −18.0  6392 170  213783  131442  333  −16.4  6392 170  219592  130794  334  −14.7  6392 171  217367  129469  335  −12.9  6392 172  214057  127498  336  −11.2  6392 173  205580  124947  337  −9.5  6392 174  196544  121894  338  −7.9  6392 174  187140  118430  339  −6.4  6392 175  177540  114647  340  −5.0  6392 176  167897  162989  341  −3.7  6392 176  154608  153152  342  −2.5  6392 177  137852  143741  343  −1.4  6392 178  122826  134814  344  −0.6  6392 178  109420  126420  345  0.1  6392 179  97504  118581 

TABLE 3C t rho Thrust del h del v del gam alpha s kg/m3 N m m/s deg deg 0 0.14812 0.0 41 −3 0.3 10.0 1 0.14727 0.0 42 −3 0.2 10.0 2 0.14640 0.0 42 −3 0.2 10.0 3 0.14554 0.0 42 −3 0.1 10.0 4 0.14467 0.0 42 −3 0.0 10.0 5 0.14382 130326.3 42 8 1.2 10.0 6 0.14298 130839.2 48 8 1.4 10.0 7 0.14201 131329.8 55 7 1.6 10.0 8 0.14091 131785.5 64 7 1.8 10.0 9 0.13965 129921.5 73 7 1.5 10.0 10 0.13822 130178.6 81 7 1.6 10.0 11 0.13665 130387.8 90 6 1.7 10.0 12 0.13492 128350.2 100 6 1.4 10.0 13 0.13303 128380.7 108 6 1.4 10.0 14 0.13101 128363.0 117 6 1.5 10.0 15 0.12886 128292.3 126 5 1.6 10.0 16 0.12659 128164.6 136 5 1.7 10.0 17 0.12418 127976.7 146 5 1.7 10.0 18 0.12165 127726.1 156 5 1.8 10.0 19 0.11901 127411.5 167 4 1.8 10.0 20 0.11624 127032.3 177 4 1.8 10.0 21 0.11338 126589.0 188 4 1.9 10.0 22 0.11042 126083.0 198 4 1.9 10.0 23 0.10738 125516.7 209 3 1.9 10.0 24 0.10427 124893.1 219 3 1.9 10.0 25 0.10110 124216.0 229 3 1.9 10.0 26 0.09789 123489.8 239 3 1.9 10.0 27 0.09466 122719.3 248 2 1.9 10.0 28 0.09141 121909.5 257 2 1.9 10.0 29 0.08815 121065.6 266 2 1.8 10.0 30 0.08491 150000.0 274 5 1.5 10.0 31 0.08170 151500.0 283 5 1.5 10.0 32 0.07850 153015.0 292 5 1.5 10.0 33 0.07533 200000.0 302 10 0.4 8.0 34 0.07220 202000.0 311 10 0.3 6.0 35 0.06911 204020.0 320 10 0.2 4.0 36 0.06606 206060.2 330 11 0.1 2.0 37 0.06306 208120.8 340 11 0.1 2.0 38 0.06011 206247.7 349 11 0.1 2.0 39 0.05723 204391.5 359 11 0.2 4.0 40 0.05440 202552.0 370 11 0.1 2.0 41 0.05164 200729.0 380 11 0.1 2.0 42 0.04895 198922.4 389 11 0.1 2.0 43 0.04634 197132.1 399 11 0.1 2.0 44 0.04381 195357.9 409 11 0.1 2.0 45 0.04135 193599.7 419 11 0.1 2.0 46 0.03898 191857.3 429 11 0.1 2.0 47 0.03670 190130.6 439 11 −0.2 2.0 48 0.03450 188419.4 447 11 −0.2 2.0 49 0.03239 186723.7 456 11 −0.2 2.0 50 0.03038 185043.1 464 11 −0.2 2.0 51 0.02845 183562.8 472 11 −0.2 2.0 52 0.02662 182094.3 481 11 −0.2 2.0 53 0.02488 180637.5 489 11 0.0 2.0 54 0.02322 179192.4 498 11 0.0 2.0 55 0.02165 177758.9 508 11 0.1 5.0 56 0.02015 176336.8 518 11 0.1 5.0 57 0.01874 174926.1 527 11 0.1 5.0 58 0.01740 173526.7 537 11 0.1 5.0 59 0.01613 172138.5 547 11 0.1 5.0 60 0.01493 170589.3 556 11 0.1 5.0 61 0.01381 169054.0 566 11 0.0 5.0 62 0.01275 167532.5 575 11 0.0 5.0 63 0.01176 166024.7 585 11 0.0 5.0 64 0.01083 164530.5 594 11 0.0 5.0 65 0.00996 163049.7 603 11 0.1 10.0 66 0.00915 161582.2 613 11 0.1 10.0 67 0.00839 160128.0 623 11 0.1 10.0 68 0.00768 158686.8 633 10 0.1 10.0 69 0.00703 157258.7 643 10 0.1 10.0 70 0.00642 155843.3 652 10 0.1 10.0 71 0.00586 154440.8 662 10 0.1 10.0 72 0.00534 153050.8 671 10 0.0 10.0 73 0.00485 151673.3 681 10 0.0 10.0 74 0.00441 150459.9 690 10 0.0 10.0 75 0.00400 149406.7 699 10 0.0 10.0 76 0.00363 148360.9 708 11 0.0 10.0 77 0.00328 147322.3 718 11 0.0 10.0 78 0.00297 146291.1 727 11 −0.0 10.0 79 0.00268 145267.1 736 11 −0.1 10.0 80 0.00241 144250.2 745 11 −0.1 10.0 81 0.00217 143240.4 753 11 −0.1 10.0 82 0.00196 142237.7 762 11 −0.1 10.0 83 0.00176 141242.1 771 11 −0.2 5.0 84 0.00158 140253.4 779 11 −0.2 5.0 85 0.00141 139271.6 787 11 −0.2 5.0 86 0.00126 138296.7 795 11 −0.2 5.0 87 0.00113 137328.6 803 11 −0.2 5.0 88 0.00101 136367.3 812 11 −0.2 5.0 89 0.00090 135412.8 820 11 −0.2 5.0 90 0.00080 134464.9 828 11 −0.2 5.0 91 0.00071 133523.6 836 11 −0.2 5.0 92 0.00063 132589.0 844 11 −0.2 5.0 93 0.00056 131660.8 852 11 −0.2 5.0 94 0.00050 130739.2 860 11 −0.2 5.0 95 0.00044 104591.4 868 7 −0.2 5.0 96 0.00039 83673.1 872 4 −0.2 5.0 97 0.00035 66938.5 874 2 −0.2 5.0 98 0.00031 53550.8 873 −0 −0.2 5.0 99 0.00027 42840.6 871 −2 −0.3 5.0 100 0.00024 34272.5 867 −3 −0.3 5.0 101 0.00021 27418.0 862 −4 −0.3 5.0 102 0.00019 21934.4 856 −5 −0.3 5.0 103 0.00017 17547.5 849 −5 −0.3 5.0 104 0.00015 14038.0 842 −6 −0.3 5.0 105 0.00013 0.0 834 −8 −0.3 5.0 106 0.00012 0.0 824 −8 −0.3 5.0 107 0.00010 0.0 814 −8 −0.3 5.0 108 0.00009 0.0 804 −8 −0.3 5.0 109 0.00008 0.0 795 −8 −0.3 5.0 110 0.00007 0.0 785 −8 −0.3 5.0 111 0.00007 0.0 775 −8 −0.3 5.0 112 0.00006 0.0 765 −8 −0.4 5.0 113 0.00005 0.0 756 −8 −0.4 5.0 114 0.00005 0.0 746 −8 −0.4 5.0 115 0.00004 0.0 736 −8 −0.4 5.0 116 0.00004 0.0 726 −8 −0.4 0.0 117 0.00004 0.0 716 −8 −0.4 0.0 118 0.00003 0.0 707 −8 −0.4 0.0 119 0.00003 0.0 697 −8 −0.4 0.0 120 0.00003 0.0 687 −7 −0.4 0.0 121 0.00002 0.0 677 −7 −0.4 0.0 122 0.00002 0.0 667 −7 −0.4 0.0 123 0.00002 0.0 658 −7 −0.4 0.0 124 0.00002 0.0 648 −7 −0.4 0.0 125 0.00002 0.0 638 −7 −0.4 0.0 126 0.00001 0.0 628 −7 −0.4 0.0 127 0.00001 0.0 619 −7 −0.5 0.0 128 0.00001 0.0 609 −7 −0.5 0.0 129 0.00001 0.0 599 −7 −0.5 0.0 130 0.00001 0.0 589 −7 −0.5 0.0 131 0.00001 0.0 579 −7 −0.5 0.0 132 0.00001 0.0 570 −7 −0.5 0.0 133 0.00001 0.0 560 −7 −0.5 0.0 134 0.00001 0.0 550 −7 −0.5 0.0 135 0.00001 0.0 540 −7 −0.5 0.0 136 0.00001 0.0 531 −7 −0.5 0.0 137 0.00001 0.0 521 −7 −0.5 0.0 138 0.00001 0.0 511 −7 −0.5 0.0 139 0.00001 0.0 501 −6 −0.6 0.0 140 0.00000 0.0 491 −6 −0.6 0.0 141 0.00000 0.0 482 −6 −0.6 0.0 142 0.00000 0.0 472 −6 −0.6 0.0 143 0.00000 0.0 462 −6 −0.6 0.0 144 0.00000 0.0 452 −6 −0.6 0.0 145 0.00000 0.0 443 −6 −0.6 0.0 146 0.00000 0.0 433 −6 −0.6 0.0 147 0.00000 0.0 423 −6 −0.6 0.0 148 0.00000 0.0 413 −6 −0.6 0.0 149 0.00000 0.0 403 −6 −0.7 0.0 150 0.00000 0.0 394 −6 −0.7 0.0 151 0.00000 0.0 384 −5 −0.7 0.0 152 0.00000 0.0 374 −5 −0.7 0.0 153 0.00000 0.0 364 −5 −0.7 0.0 154 0.00000 0.0 355 −5 −0.7 0.0 155 0.00000 0.0 345 −5 −0.7 0.0 156 0.00000 0.0 335 −5 −0.7 0.0 157 0.00000 0.0 325 −5 −0.7 0.0 158 0.00000 0.0 316 −5 −0.8 0.0 159 0.00000 0.0 306 −5 −0.8 0.0 160 0.00000 0.0 296 −5 −0.8 0.0 161 0.00000 0.0 286 −4 −0.8 0.0 162 0.00000 0.0 276 −4 −0.8 0.0 163 0.00000 0.0 267 −4 −0.8 0.0 164 0.00000 0.0 257 −4 −0.8 0.0 165 0.00000 0.0 247 −4 −0.8 0.0 166 0.00000 0.0 237 −4 −0.8 0.0 167 0.00000 0.0 228 −4 −0.8 0.0 168 0.00000 0.0 218 −3 −0.9 0.0 169 0.00000 0.0 208 −3 −0.9 0.0 170 0.00000 0.0 198 −3 −0.9 0.0 171 0.00000 0.0 188 −3 −0.9 0.0 172 0.00000 0.0 179 −3 −0.9 0.0 173 0.00000 0.0 169 −3 −0.9 0.0 174 0.00000 0.0 159 −3 −0.9 0.0 175 0.00000 0.0 149 −2 −0.9 0.0 176 0.00000 0.0 140 −2 −0.9 0.0 177 0.00000 0.0 130 −2 −0.9 0.0 178 0.00000 0.0 120 −2 −0.9 0.0 179 0.00000 0.0 110 −2 −1.0 0.0 180 0.00000 0.0 100 −2 −1.0 0.0 181 0.00000 0.0 91 −2 −1.0 0.0 182 0.00000 0.0 81 −1 −1.0 0.0 183 0.00000 0.0 71 −1 −1.0 0.0 184 0.00000 0.0 61 −1 −1.0 0.0 185 0.00000 0.0 51 −1 −1.0 0.0 186 0.00000 0.0 42 −1 −1.0 0.0 187 0.00000 0.0 32 −1 −1.0 0.0 188 0.00000 0.0 22 −0 −1.0 0.0 189 0.00000 0.0 12 −0 −1.0 0.0 190 0.00000 0.0 3 −0 −1.0 0.0 191 0.00000 0.0 −7 0 −1.0 0.0 192 0.00000 0.0 −17 0 −1.0 0.0 193 0.00000 0.0 −27 0 −1.0 0.0 194 0.00000 0.0 −37 1 −1.0 0.0 195 0.00000 0.0 −47 1 −1.0 0.0 196 0.00000 0.0 −56 1 −1.0 0.0 197 0.00000 0.0 −66 1 −1.0 0.0 198 0.00000 0.0 −76 1 −1.0 0.0 199 0.00000 0.0 −86 1 −1.0 0.0 200 0.00000 0.0 −96 2 −1.0 0.0 201 0.00000 0.0 −105 2 −1.0 0.0 202 0.00000 0.0 −115 2 −1.0 0.0 203 0.00000 0.0 −125 2 −0.9 0.0 204 0.00000 0.0 −135 2 −0.9 0.0 205 0.00000 0.0 −145 2 −0.9 30.0 206 0.00000 0.0 −154 3 −0.9 30.0 207 0.00000 0.0 −164 3 −0.9 30.0 208 0.00000 0.0 −174 3 −0.9 30.0 209 0.00000 0.0 −184 3 −0.9 30.0 210 0.00000 0.0 −194 3 −0.9 30.0 211 0.00000 0.0 −204 3 −0.9 30.0 212 0.00000 0.0 −213 3 −0.9 30.0 213 0.00000 0.0 −223 4 −0.9 30.0 214 0.00000 0.0 −233 4 −0.8 30.0 215 0.00000 0.0 −243 4 −0.8 30.0 216 0.00000 0.0 −253 4 −0.8 30.0 217 0.00000 0.0 −262 4 −0.8 30.0 218 0.00000 0.0 −272 4 −0.8 30.0 219 0.00000 0.0 −282 4 −0.8 30.0 220 0.00000 0.0 −292 4 −0.8 30.0 221 0.00000 0.0 −302 5 −0.8 30.0 222 0.00000 0.0 −312 5 −0.8 30.0 223 0.00000 0.0 −321 5 −0.8 30.0 224 0.00000 0.0 −331 5 −0.7 30.0 225 0.00000 0.0 −341 5 −0.7 30.0 226 0.00000 0.0 −351 5 −0.7 30.0 227 0.00000 0.0 −361 5 −0.7 30.0 228 0.00000 0.0 −371 5 −0.7 30.0 229 0.00000 0.0 −380 5 −0.7 30.0 230 0.00000 0.0 −390 6 −0.7 30.0 231 0.00000 0.0 −400 6 −0.7 30.0 232 0.00000 0.0 −410 6 −0.7 30.0 233 0.00000 0.0 −420 6 −0.6 30.0 234 0.00000 0.0 −429 6 −0.6 30.0 235 0.00000 0.0 −439 6 −0.6 30.0 236 0.00000 0.0 −449 6 −0.6 30.0 237 0.00000 0.0 −459 6 −0.6 30.0 238 0.00000 0.0 −469 6 −0.6 30.0 239 0.00000 0.0 −479 6 −0.6 30.0 240 0.00000 0.0 −488 6 −0.6 30.0 241 0.00000 0.0 −498 6 −0.6 30.0 242 0.00001 0.0 −508 7 −0.5 30.0 243 0.00001 0.0 −518 7 −0.5 30.0 244 0.00001 0.0 −528 7 −0.5 30.0 245 0.00001 0.0 −537 7 −0.5 30.0 246 0.00001 0.0 −547 7 −0.5 30.0 247 0.00001 0.0 −557 7 −0.5 30.0 248 0.00001 0.0 −567 7 −0.5 30.0 249 0.00001 0.0 −577 7 −0.5 30.0 250 0.00001 0.0 −588 7 −0.5 30.0 251 0.00001 0.0 −596 7 −0.5 30.0 252 0.00001 0.0 −606 7 −0.5 30.0 253 0.00001 0.0 −616 7 −0.5 30.0 254 0.00001 0.0 −626 7 −0.4 30.0 255 0.00001 0.0 −636 7 −0.4 30.0 256 0.00002 0.0 −645 7 −0.4 30.0 257 0.00002 0.0 −655 7 −0.4 30.0 258 0.00002 0.0 −665 7 −0.4 30.0 259 0.00002 0.0 −675 7 −0.4 30.0 260 0.00002 0.0 −684 8 −0.4 30.0 261 0.00003 0.0 −694 8 −0.4 30.0 262 0.00003 0.0 −704 8 −0.4 30.0 263 0.00003 0.0 −714 8 −0.4 30.0 264 0.00003 0.0 −723 8 −0.4 30.0 265 0.00004 0.0 −733 8 −0.4 30.0 266 0.00004 0.0 −743 8 −0.4 30.0 267 0.00005 0.0 −753 8 −0.4 30.0 268 0.00005 0.0 −762 8 −0.3 30.0 269 0.00006 0.0 −772 8 −0.3 30.0 270 0.00006 0.0 −782 8 −0.3 30.0 271 0.00007 0.0 −791 8 −0.3 30.0 272 0.00008 0.0 −801 8 −0.3 30.0 273 0.00009 0.0 −811 8 −0.3 30.0 274 0.00010 0.0 −820 8 −0.3 30.0 275 0.00011 0.0 −830 8 −0.3 30.0 276 0.00013 0.0 −839 8 −0.3 30.0 277 0.00014 0.0 −849 8 −0.3 30.0 278 0.00016 0.0 −858 8 −0.3 30.0 279 0.00018 0.0 −867 8 −0.3 30.0 280 0.00020 0.0 −877 8 −0.3 30.0 281 0.00023 0.0 −886 8 −0.3 30.0 282 0.00026 0.0 −895 8 −0.2 30.0 283 0.00030 0.0 −904 8 −0.2 30.0 284 0.00034 0.0 −913 8 −0.2 30.0 285 0.00038 0.0 −922 8 −0.2 30.0 286 0.00043 0.0 −930 8 −0.2 30.0 287 0.00049 0.0 −939 7 −0.2 30.0 288 0.00056 0.0 −947 7 −0.2 30.0 289 0.00065 0.0 −955 7 −0.2 30.0 290 0.00074 0.0 −963 7 −0.1 30.0 291 0.00085 0.0 −970 7 −0.1 30.0 292 0.00097 0.0 −977 6 −0.1 30.0 293 0.00111 0.0 −983 6 −0.1 30.0 294 0.00128 0.0 −989 6 −0.0 30.0 295 0.00147 0.0 −995 5 −0.0 30.0 296 0.00169 0.0 −999 5 0.0 30.0 297 0.00195 0.0 −1003 4 0.1 30.0 298 0.00224 0.0 −1006 3 0.1 30.0 299 0.00258 0.0 −1008 3 0.2 30.0 300 0.00297 0.0 −1008 2 0.2 30.0 301 0.00343 0.0 −1007 1 0.3 30.0 302 0.00395 0.0 −1004 −1 0.4 30.0 303 0.00455 0.0 −1000 −2 0.5 30.0 304 0.00524 0.0 −993 −4 0.6 30.0 305 0.00603 0.0 −983 −5 0.7 30.0 306 0.00692 0.0 −971 −7 0.9 30.0 307 0.00793 0.0 −955 −9 1.0 30.0 308 0.00908 0.0 −936 −12 1.2 30.0 309 0.01036 0.0 −913 −14 1.3 30.0 310 0.01178 0.0 −885 −10 1.5 24.0 311 0.01334 0.0 −860 −12 1.4 19.2 312 0.01506 0.0 −833 −8 1.6 15.4 313 0.01693 0.0 −807 −10 1.5 12.3 314 0.01897 0.0 −780 −11 1.5 9.8 315 0.02117 0.0 −752 −13 1.4 9.5 316 0.02353 0.0 −724 −8 1.6 9.2 317 0.02606 0.0 −697 −10 1.6 9.0 318 0.02875 0.0 −669 −11 1.5 8.7 319 0.03159 0.0 −640 −13 1.5 8.4 320 0.03457 0.0 −611 −14 1.5 8.2 321 0.03767 0.0 −581 −9 1.6 7.9 322 0.04089 0.0 −552 −10 1.6 7.7 323 0.04419 0.0 −524 −11 1.6 7.5 324 0.04758 0.0 −494 −12 1.6 7.2 325 0.05101 0.0 −465 −13 1.6 7.0 326 0.05446 0.0 −435 −14 1.6 6.8 327 0.05790 0.0 −405 −15 1.6 6.1 328 0.06131 0.0 −376 −16 1.6 6.0 329 0.06464 0.0 −346 −16 1.6 6.0 330 0.06787 0.0 −317 −17 1.6 6.0 331 0.07097 0.0 −289 −17 1.5 6.0 332 0.07392 0.0 −262 −18 1.6 6.0 333 0.07670 0.0 −234 −18 1.7 6.0 334 0.07927 0.0 −205 −18 1.7 6.0 335 0.08160 0.0 −178 −18 1.7 6.0 336 0.08366 0.0 −151 −18 1.7 6.0 337 0.08546 0.0 −126 −17 1.6 6.0 338 0.08699 0.0 −102 −17 1.5 6.0 339 0.08825 0.0 −81 −17 1.4 6.0 340 0.08926 0.0 −62 −25 1.3 6.0 341 0.09004 0.0 −44 −23 1.2 6.0 342 0.09060 0.0 −28 −22 1.0 6.0 343 0.09096 0.0 −16 −21 0.8 6.0 344 0.09116 0.0 −6 −20 0.7 6.0 345 0.09124 0.0 1 −19 0.5 6.0 

We claim:
 1. A method for controlling the acceleration of a vehicle reentering the sensible atmosphere, comprising executing a lofting translational rocket burn after achieving apogee and at an altitude of greater than about 40 km whereby the vehicle reenters the sensible atmosphere at a maximum accelerative force of less than 4 g.
 2. The method of claim 1 further comprising executing a power dive rocket burn after entry of the vehicle into the sensible atmosphere.
 3. The method of claim 1 or 2 wherein the lofting translational rocket burn is executed at an altitude of greater than about 50 km.
 4. The method of claim 1 or 2 wherein the lofting translational rocket bum is initiated and completed at an altitude of greater than about 40 km.
 5. The method of claim 3 wherein the lofting translational rocket burn is initiated and completed at an altitude of greater than about 50 km.
 6. The method of claim 1 or 2 wherein the lofting translational rocket burn increases downrange velocity.
 7. The method of claim 1 or 2 wherein the lofting translational rocket burn provides a positive increase in the amount of aerodynamic lift.
 8. The method of claim 1 or 2 wherein the vehicle reenters the sensible atmosphere at a maximum accelerative force of less than 2 g.
 9. A method for controlling the acceleration of a vehicle reentering the sensible atmosphere, comprising executing a power dive rocket burn after entry of the vehicle into the sensible atmosphere whereby the vehicle reenters the sensible atmosphere at a maximum accelerative force of less than 4 g.
 10. The method of claim 9 wherein the vehicle reenters the sensible atmosphere at a maximum accelerative force of less than 2 g.
 11. A method for increasing the acceleration of a vehicle reentering the sensible atmosphere, comprising initiating a downward translational rocket bum after achieving apogee and pore to reentering the sensible atmosphere so as to increase the maximum decelerative drag force imposed upon the vehicle during reentry.
 12. A method for increasing the deceleration of a vehicle reentering the sensible atmosphere, comprising executing an upward translational rocket burn after reentering the sensible atmosphere so as to augment the decelerative drag force imposed upon the vehicle during reentry.
 13. A method for extending the period of minimized dynamic pressure observed at apogee by a vehicle traveling proximate the edge of the sensible atmosphere, comprising executing a translational rocket burn through apogee wherein the thrust of the bum is sufficient to substantially counterbalance the downward accelerative force of gravity and thereby extend the period of minimized dynamic pressure observed at apogee. 